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Finding the Fourth Proportional to 113,780.96, 156,901.20 and 75,527

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Solution

The fourth proportional to 113,780.96, 156,901.20 and 75,527 is: 104,149.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,780.96 : 156,901.20 = 75,527 : x
  2. Step 2: Convert to fraction form
    113,780.96/156,901.20 = 75,527/x
  3. Step 3: Cross multiply
    113,780.96x = 156,901.20 × 75,527
  4. Step 4: Simplify right side
    113,780.96x = 11,850,276,932.40
  5. Step 5: Solve for x
    x = 11,850,276,932.40/113,780.96
  6. Step 6: Final answer
    x = 104,149.91

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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.