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Finding the Fourth Proportional to 235,301.13, 324,711.31 and 127,871.54

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Solution

The fourth proportional to 235,301.13, 324,711.31 and 127,871.54 is: 176,460.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,301.13 : 324,711.31 = 127,871.54 : x
  2. Step 2: Convert to fraction form
    235,301.13/324,711.31 = 127,871.54/x
  3. Step 3: Cross multiply
    235,301.13x = 324,711.31 × 127,871.54
  4. Step 4: Simplify right side
    235,301.13x = 41,521,335,265.12
  5. Step 5: Solve for x
    x = 41,521,335,265.12/235,301.13
  6. Step 6: Final answer
    x = 176,460.42

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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.