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Finding the Fourth Proportional to 224,575.56, 309,923.28 and 122,607.90

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Solution

The fourth proportional to 224,575.56, 309,923.28 and 122,607.90 is: 169,203.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,575.56 : 309,923.28 = 122,607.90 : x
  2. Step 2: Convert to fraction form
    224,575.56/309,923.28 = 122,607.90/x
  3. Step 3: Cross multiply
    224,575.56x = 309,923.28 × 122,607.90
  4. Step 4: Simplify right side
    224,575.56x = 37,999,042,521.91
  5. Step 5: Solve for x
    x = 37,999,042,521.91/224,575.56
  6. Step 6: Final answer
    x = 169,203.82

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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.