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Finding the Fourth Proportional to 103,002.38, 142,122.74 and 62,689.14

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Solution

The fourth proportional to 103,002.38, 142,122.74 and 62,689.14 is: 86,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,002.38 : 142,122.74 = 62,689.14 : x
  2. Step 2: Convert to fraction form
    103,002.38/142,122.74 = 62,689.14/x
  3. Step 3: Cross multiply
    103,002.38x = 142,122.74 × 62,689.14
  4. Step 4: Simplify right side
    103,002.38x = 8,909,552,345.04
  5. Step 5: Solve for x
    x = 8,909,552,345.04/103,002.38
  6. Step 6: Final answer
    x = 86,498.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.