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Finding the Fourth Proportional to 276,002.40, 413,857.80 and 118,052.40

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Solution

The fourth proportional to 276,002.40, 413,857.80 and 118,052.40 is: 177,016.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,002.40 : 413,857.80 = 118,052.40 : x
  2. Step 2: Convert to fraction form
    276,002.40/413,857.80 = 118,052.40/x
  3. Step 3: Cross multiply
    276,002.40x = 413,857.80 × 118,052.40
  4. Step 4: Simplify right side
    276,002.40x = 48,856,906,548.72
  5. Step 5: Solve for x
    x = 48,856,906,548.72/276,002.40
  6. Step 6: Final answer
    x = 177,016.24

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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.