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Finding the Fourth Proportional to 133,920.86, 200,753.13 and 49,658.48

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Solution

The fourth proportional to 133,920.86, 200,753.13 and 49,658.48 is: 74,440.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,920.86 : 200,753.13 = 49,658.48 : x
  2. Step 2: Convert to fraction form
    133,920.86/200,753.13 = 49,658.48/x
  3. Step 3: Cross multiply
    133,920.86x = 200,753.13 × 49,658.48
  4. Step 4: Simplify right side
    133,920.86x = 9,969,094,287.28
  5. Step 5: Solve for x
    x = 9,969,094,287.28/133,920.86
  6. Step 6: Final answer
    x = 74,440.19

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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.