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Finding the Fourth Proportional to 133,047.54, 199,398.51 and 54,069.86

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Solution

The fourth proportional to 133,047.54, 199,398.51 and 54,069.86 is: 81,034.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,047.54 : 199,398.51 = 54,069.86 : x
  2. Step 2: Convert to fraction form
    133,047.54/199,398.51 = 54,069.86/x
  3. Step 3: Cross multiply
    133,047.54x = 199,398.51 × 54,069.86
  4. Step 4: Simplify right side
    133,047.54x = 10,781,449,519.91
  5. Step 5: Solve for x
    x = 10,781,449,519.91/133,047.54
  6. Step 6: Final answer
    x = 81,034.56

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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.