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Finding the Fourth Proportional to 224,540.94, 309,864.96 and 122,565.96

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Solution

The fourth proportional to 224,540.94, 309,864.96 and 122,565.96 is: 169,140.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,540.94 : 309,864.96 = 122,565.96 : x
  2. Step 2: Convert to fraction form
    224,540.94/309,864.96 = 122,565.96/x
  3. Step 3: Cross multiply
    224,540.94x = 309,864.96 × 122,565.96
  4. Step 4: Simplify right side
    224,540.94x = 37,978,896,292.76
  5. Step 5: Solve for x
    x = 37,978,896,292.76/224,540.94
  6. Step 6: Final answer
    x = 169,140.19

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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.