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Finding the Fourth Proportional to 110,472.06, 152,402.94 and 74,649

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Solution

The fourth proportional to 110,472.06, 152,402.94 and 74,649 is: 102,982.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,472.06 : 152,402.94 = 74,649 : x
  2. Step 2: Convert to fraction form
    110,472.06/152,402.94 = 74,649/x
  3. Step 3: Cross multiply
    110,472.06x = 152,402.94 × 74,649
  4. Step 4: Simplify right side
    110,472.06x = 11,376,727,068.06
  5. Step 5: Solve for x
    x = 11,376,727,068.06/110,472.06
  6. Step 6: Final answer
    x = 102,982.85

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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.