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Finding the Fourth Proportional to 102,644.60, 141,712.08 and 70,432.14

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Solution

The fourth proportional to 102,644.60, 141,712.08 and 70,432.14 is: 97,239.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,644.60 : 141,712.08 = 70,432.14 : x
  2. Step 2: Convert to fraction form
    102,644.60/141,712.08 = 70,432.14/x
  3. Step 3: Cross multiply
    102,644.60x = 141,712.08 × 70,432.14
  4. Step 4: Simplify right side
    102,644.60x = 9,981,085,058.25
  5. Step 5: Solve for x
    x = 9,981,085,058.25/102,644.60
  6. Step 6: Final answer
    x = 97,239.26

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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.