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Finding the Fourth Proportional to 276,166.32, 414,320.76 and 126,335.04

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Solution

The fourth proportional to 276,166.32, 414,320.76 and 126,335.04 is: 189,535.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,166.32 : 414,320.76 = 126,335.04 : x
  2. Step 2: Convert to fraction form
    276,166.32/414,320.76 = 126,335.04/x
  3. Step 3: Cross multiply
    276,166.32x = 414,320.76 × 126,335.04
  4. Step 4: Simplify right side
    276,166.32x = 52,343,229,787.43
  5. Step 5: Solve for x
    x = 52,343,229,787.43/276,166.32
  6. Step 6: Final answer
    x = 189,535.17

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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.