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Finding the Fourth Proportional to 103,432.12, 142,691.34 and 65,168.44

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Solution

The fourth proportional to 103,432.12, 142,691.34 and 65,168.44 is: 89,904.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,432.12 : 142,691.34 = 65,168.44 : x
  2. Step 2: Convert to fraction form
    103,432.12/142,691.34 = 65,168.44/x
  3. Step 3: Cross multiply
    103,432.12x = 142,691.34 × 65,168.44
  4. Step 4: Simplify right side
    103,432.12x = 9,298,972,029.31
  5. Step 5: Solve for x
    x = 9,298,972,029.31/103,432.12
  6. Step 6: Final answer
    x = 89,904.10

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