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Finding the Fourth Proportional to 154,752.92, 232,052.78 and 54,898.14

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Solution

The fourth proportional to 154,752.92, 232,052.78 and 54,898.14 is: 82,320.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,752.92 : 232,052.78 = 54,898.14 : x
  2. Step 2: Convert to fraction form
    154,752.92/232,052.78 = 54,898.14/x
  3. Step 3: Cross multiply
    154,752.92x = 232,052.78 × 54,898.14
  4. Step 4: Simplify right side
    154,752.92x = 12,739,265,729.34
  5. Step 5: Solve for x
    x = 12,739,265,729.34/154,752.92
  6. Step 6: Final answer
    x = 82,320.04

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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.