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Finding the Fourth Proportional to 133,098.68, 199,529.03 and 48,839.29

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Solution

The fourth proportional to 133,098.68, 199,529.03 and 48,839.29 is: 73,215.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,098.68 : 199,529.03 = 48,839.29 : x
  2. Step 2: Convert to fraction form
    133,098.68/199,529.03 = 48,839.29/x
  3. Step 3: Cross multiply
    133,098.68x = 199,529.03 × 48,839.29
  4. Step 4: Simplify right side
    133,098.68x = 9,744,856,159.59
  5. Step 5: Solve for x
    x = 9,744,856,159.59/133,098.68
  6. Step 6: Final answer
    x = 73,215.27

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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.