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Finding the Fourth Proportional to 133,678.59, 200,508.15 and 49,399.47

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Solution

The fourth proportional to 133,678.59, 200,508.15 and 49,399.47 is: 74,095.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,678.59 : 200,508.15 = 49,399.47 : x
  2. Step 2: Convert to fraction form
    133,678.59/200,508.15 = 49,399.47/x
  3. Step 3: Cross multiply
    133,678.59x = 200,508.15 × 49,399.47
  4. Step 4: Simplify right side
    133,678.59x = 9,904,996,178.59
  5. Step 5: Solve for x
    x = 9,904,996,178.59/133,678.59
  6. Step 6: Final answer
    x = 74,095.61

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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.