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Finding the Fourth Proportional to 229,665.32, 316,948.70 and 127,701.26

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Solution

The fourth proportional to 229,665.32, 316,948.70 and 127,701.26 is: 176,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,665.32 : 316,948.70 = 127,701.26 : x
  2. Step 2: Convert to fraction form
    229,665.32/316,948.70 = 127,701.26/x
  3. Step 3: Cross multiply
    229,665.32x = 316,948.70 × 127,701.26
  4. Step 4: Simplify right side
    229,665.32x = 40,474,747,550.11
  5. Step 5: Solve for x
    x = 40,474,747,550.11/229,665.32
  6. Step 6: Final answer
    x = 176,233.60

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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.