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Finding the Fourth Proportional to 99,657.60, 137,343.36 and 84,501.76

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Solution

The fourth proportional to 99,657.60, 137,343.36 and 84,501.76 is: 116,456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,657.60 : 137,343.36 = 84,501.76 : x
  2. Step 2: Convert to fraction form
    99,657.60/137,343.36 = 84,501.76/x
  3. Step 3: Cross multiply
    99,657.60x = 137,343.36 × 84,501.76
  4. Step 4: Simplify right side
    99,657.60x = 11,605,755,644.31
  5. Step 5: Solve for x
    x = 11,605,755,644.31/99,657.60
  6. Step 6: Final answer
    x = 116,456.30

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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.