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Finding the Fourth Proportional to 276,395.52, 414,330.80 and 108,023.86

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Solution

The fourth proportional to 276,395.52, 414,330.80 and 108,023.86 is: 161,933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,395.52 : 414,330.80 = 108,023.86 : x
  2. Step 2: Convert to fraction form
    276,395.52/414,330.80 = 108,023.86/x
  3. Step 3: Cross multiply
    276,395.52x = 414,330.80 × 108,023.86
  4. Step 4: Simplify right side
    276,395.52x = 44,757,612,332.89
  5. Step 5: Solve for x
    x = 44,757,612,332.89/276,395.52
  6. Step 6: Final answer
    x = 161,933.20

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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.