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Finding the Fourth Proportional to 99,531.70, 148,933.05 and 73,287.70

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Solution

The fourth proportional to 99,531.70, 148,933.05 and 73,287.70 is: 109,663.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,531.70 : 148,933.05 = 73,287.70 : x
  2. Step 2: Convert to fraction form
    99,531.70/148,933.05 = 73,287.70/x
  3. Step 3: Cross multiply
    99,531.70x = 148,933.05 × 73,287.70
  4. Step 4: Simplify right side
    99,531.70x = 10,914,960,688.49
  5. Step 5: Solve for x
    x = 10,914,960,688.49/99,531.70
  6. Step 6: Final answer
    x = 109,663.16

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Why These Related Problems?

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