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Finding the Fourth Proportional to 229,665.38, 316,920.20 and 127,684.55

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Solution

The fourth proportional to 229,665.38, 316,920.20 and 127,684.55 is: 176,194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,665.38 : 316,920.20 = 127,684.55 : x
  2. Step 2: Convert to fraction form
    229,665.38/316,920.20 = 127,684.55/x
  3. Step 3: Cross multiply
    229,665.38x = 316,920.20 × 127,684.55
  4. Step 4: Simplify right side
    229,665.38x = 40,465,813,276.79
  5. Step 5: Solve for x
    x = 40,465,813,276.79/229,665.38
  6. Step 6: Final answer
    x = 176,194.66

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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.