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Finding the Fourth Proportional to 133,398.68, 200,047.80 and 54,470.66

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Solution

The fourth proportional to 133,398.68, 200,047.80 and 54,470.66 is: 81,685.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,398.68 : 200,047.80 = 54,470.66 : x
  2. Step 2: Convert to fraction form
    133,398.68/200,047.80 = 54,470.66/x
  3. Step 3: Cross multiply
    133,398.68x = 200,047.80 × 54,470.66
  4. Step 4: Simplify right side
    133,398.68x = 10,896,735,697.55
  5. Step 5: Solve for x
    x = 10,896,735,697.55/133,398.68
  6. Step 6: Final answer
    x = 81,685.48

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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.