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Finding the Fourth Proportional to 201,204,632.10, 301,806,948.15 and 172,506,818.10

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Solution

The fourth proportional to 201,204,632.10, 301,806,948.15 and 172,506,818.10 is: 258,760,227.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,204,632.10 : 301,806,948.15 = 172,506,818.10 : x
  2. Step 2: Convert to fraction form
    201,204,632.10/301,806,948.15 = 172,506,818.10/x
  3. Step 3: Cross multiply
    201,204,632.10x = 301,806,948.15 × 172,506,818.10
  4. Step 4: Simplify right side
    201,204,632.10x = 52,063,756,305,828,176
  5. Step 5: Solve for x
    x = 52,063,756,305,828,176/201,204,632.10
  6. Step 6: Final answer
    x = 258,760,227.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.