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Finding the Fourth Proportional to 276,052.24, 414,078.48 and 86,527.38

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Solution

The fourth proportional to 276,052.24, 414,078.48 and 86,527.38 is: 129,791.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,052.24 : 414,078.48 = 86,527.38 : x
  2. Step 2: Convert to fraction form
    276,052.24/414,078.48 = 86,527.38/x
  3. Step 3: Cross multiply
    276,052.24x = 414,078.48 × 86,527.38
  4. Step 4: Simplify right side
    276,052.24x = 35,829,125,988.78
  5. Step 5: Solve for x
    x = 35,829,125,988.78/276,052.24
  6. Step 6: Final answer
    x = 129,791.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.