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Finding the Fourth Proportional to 102,708.96, 153,965.02 and 43,463.13

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Solution

The fourth proportional to 102,708.96, 153,965.02 and 43,463.13 is: 65,153.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,708.96 : 153,965.02 = 43,463.13 : x
  2. Step 2: Convert to fraction form
    102,708.96/153,965.02 = 43,463.13/x
  3. Step 3: Cross multiply
    102,708.96x = 153,965.02 × 43,463.13
  4. Step 4: Simplify right side
    102,708.96x = 6,691,801,679.71
  5. Step 5: Solve for x
    x = 6,691,801,679.71/102,708.96
  6. Step 6: Final answer
    x = 65,153.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.