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Finding the Fourth Proportional to 227,098.83, 313,393.49 and 123,737.33

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Solution

The fourth proportional to 227,098.83, 313,393.49 and 123,737.33 is: 170,755.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,098.83 : 313,393.49 = 123,737.33 : x
  2. Step 2: Convert to fraction form
    227,098.83/313,393.49 = 123,737.33/x
  3. Step 3: Cross multiply
    227,098.83x = 313,393.49 × 123,737.33
  4. Step 4: Simplify right side
    227,098.83x = 38,778,475,140.41
  5. Step 5: Solve for x
    x = 38,778,475,140.41/227,098.83
  6. Step 6: Final answer
    x = 170,755.94

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1.5x scale

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.