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Finding the Fourth Proportional to 227,687.52, 314,213.72 and 125,712.64

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Solution

The fourth proportional to 227,687.52, 314,213.72 and 125,712.64 is: 173,486.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,687.52 : 314,213.72 = 125,712.64 : x
  2. Step 2: Convert to fraction form
    227,687.52/314,213.72 = 125,712.64/x
  3. Step 3: Cross multiply
    227,687.52x = 314,213.72 × 125,712.64
  4. Step 4: Simplify right side
    227,687.52x = 39,500,636,265.42
  5. Step 5: Solve for x
    x = 39,500,636,265.42/227,687.52
  6. Step 6: Final answer
    x = 173,486.17

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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.