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Finding the Fourth Proportional to 229,057.75, 316,089.03 and 127,082.13

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Solution

The fourth proportional to 229,057.75, 316,089.03 and 127,082.13 is: 175,367.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,057.75 : 316,089.03 = 127,082.13 : x
  2. Step 2: Convert to fraction form
    229,057.75/316,089.03 = 127,082.13/x
  3. Step 3: Cross multiply
    229,057.75x = 316,089.03 × 127,082.13
  4. Step 4: Simplify right side
    229,057.75x = 40,169,266,493.26
  5. Step 5: Solve for x
    x = 40,169,266,493.26/229,057.75
  6. Step 6: Final answer
    x = 175,367.42

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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.