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Finding the Fourth Proportional to 201,864.10, 302,796.15 and 162,498.10

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Solution

The fourth proportional to 201,864.10, 302,796.15 and 162,498.10 is: 243,747.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,864.10 : 302,796.15 = 162,498.10 : x
  2. Step 2: Convert to fraction form
    201,864.10/302,796.15 = 162,498.10/x
  3. Step 3: Cross multiply
    201,864.10x = 302,796.15 × 162,498.10
  4. Step 4: Simplify right side
    201,864.10x = 49,203,799,062.32
  5. Step 5: Solve for x
    x = 49,203,799,062.32/201,864.10
  6. Step 6: Final answer
    x = 243,747.15

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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.