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Finding the Fourth Proportional to 103,175.01, 142,378.56 and 62,874.06

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Solution

The fourth proportional to 103,175.01, 142,378.56 and 62,874.06 is: 86,764.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,175.01 : 142,378.56 = 62,874.06 : x
  2. Step 2: Convert to fraction form
    103,175.01/142,378.56 = 62,874.06/x
  3. Step 3: Cross multiply
    103,175.01x = 142,378.56 × 62,874.06
  4. Step 4: Simplify right side
    103,175.01x = 8,951,918,124.15
  5. Step 5: Solve for x
    x = 8,951,918,124.15/103,175.01
  6. Step 6: Final answer
    x = 86,764.40

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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.