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Finding the Fourth Proportional to 224,973.25, 310,469.57 and 124,377.73

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Solution

The fourth proportional to 224,973.25, 310,469.57 and 124,377.73 is: 171,644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,973.25 : 310,469.57 = 124,377.73 : x
  2. Step 2: Convert to fraction form
    224,973.25/310,469.57 = 124,377.73/x
  3. Step 3: Cross multiply
    224,973.25x = 310,469.57 × 124,377.73
  4. Step 4: Simplify right side
    224,973.25x = 38,615,499,728.79
  5. Step 5: Solve for x
    x = 38,615,499,728.79/224,973.25
  6. Step 6: Final answer
    x = 171,644.85

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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.