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Finding the Fourth Proportional to 201,353.40, 302,030.10 and 96,377.40

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Solution

The fourth proportional to 201,353.40, 302,030.10 and 96,377.40 is: 144,566.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,353.40 : 302,030.10 = 96,377.40 : x
  2. Step 2: Convert to fraction form
    201,353.40/302,030.10 = 96,377.40/x
  3. Step 3: Cross multiply
    201,353.40x = 302,030.10 × 96,377.40
  4. Step 4: Simplify right side
    201,353.40x = 29,108,875,759.74
  5. Step 5: Solve for x
    x = 29,108,875,759.74/201,353.40
  6. Step 6: Final answer
    x = 144,566.10

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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.