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Finding the Fourth Proportional to 274,287.38, 378,545.09 and 158,004.86

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Solution

The fourth proportional to 274,287.38, 378,545.09 and 158,004.86 is: 218,063.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,287.38 : 378,545.09 = 158,004.86 : x
  2. Step 2: Convert to fraction form
    274,287.38/378,545.09 = 158,004.86/x
  3. Step 3: Cross multiply
    274,287.38x = 378,545.09 × 158,004.86
  4. Step 4: Simplify right side
    274,287.38x = 59,811,961,266.39
  5. Step 5: Solve for x
    x = 59,811,961,266.39/274,287.38
  6. Step 6: Final answer
    x = 218,063.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.