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Finding the Fourth Proportional to 226,115.92, 312,024.36 and 125,506

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Solution

The fourth proportional to 226,115.92, 312,024.36 and 125,506 is: 173,189.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,115.92 : 312,024.36 = 125,506 : x
  2. Step 2: Convert to fraction form
    226,115.92/312,024.36 = 125,506/x
  3. Step 3: Cross multiply
    226,115.92x = 312,024.36 × 125,506
  4. Step 4: Simplify right side
    226,115.92x = 39,160,929,326.16
  5. Step 5: Solve for x
    x = 39,160,929,326.16/226,115.92
  6. Step 6: Final answer
    x = 173,189.62

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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.