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Finding the Fourth Proportional to 229,310.68, 316,446.61 and 127,333.61

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Solution

The fourth proportional to 229,310.68, 316,446.61 and 127,333.61 is: 175,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,310.68 : 316,446.61 = 127,333.61 : x
  2. Step 2: Convert to fraction form
    229,310.68/316,446.61 = 127,333.61/x
  3. Step 3: Cross multiply
    229,310.68x = 316,446.61 × 127,333.61
  4. Step 4: Simplify right side
    229,310.68x = 40,294,289,223.56
  5. Step 5: Solve for x
    x = 40,294,289,223.56/229,310.68
  6. Step 6: Final answer
    x = 175,719.20

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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.