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Finding the Fourth Proportional to 102,129.60, 140,937.72 and 56,807.28

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Solution

The fourth proportional to 102,129.60, 140,937.72 and 56,807.28 is: 78,393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,129.60 : 140,937.72 = 56,807.28 : x
  2. Step 2: Convert to fraction form
    102,129.60/140,937.72 = 56,807.28/x
  3. Step 3: Cross multiply
    102,129.60x = 140,937.72 × 56,807.28
  4. Step 4: Simplify right side
    102,129.60x = 8,006,288,522.60
  5. Step 5: Solve for x
    x = 8,006,288,522.60/102,129.60
  6. Step 6: Final answer
    x = 78,393.42

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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.