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Finding the Fourth Proportional to 227,712.42, 314,241.47 and 125,737.82

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Solution

The fourth proportional to 227,712.42, 314,241.47 and 125,737.82 is: 173,517.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,712.42 : 314,241.47 = 125,737.82 : x
  2. Step 2: Convert to fraction form
    227,712.42/314,241.47 = 125,737.82/x
  3. Step 3: Cross multiply
    227,712.42x = 314,241.47 × 125,737.82
  4. Step 4: Simplify right side
    227,712.42x = 39,512,036,487.98
  5. Step 5: Solve for x
    x = 39,512,036,487.98/227,712.42
  6. Step 6: Final answer
    x = 173,517.27

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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.