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Finding the Fourth Proportional to 124,446.92, 186,631.50 and 54,307.40

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Solution

The fourth proportional to 124,446.92, 186,631.50 and 54,307.40 is: 81,444.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,446.92 : 186,631.50 = 54,307.40 : x
  2. Step 2: Convert to fraction form
    124,446.92/186,631.50 = 54,307.40/x
  3. Step 3: Cross multiply
    124,446.92x = 186,631.50 × 54,307.40
  4. Step 4: Simplify right side
    124,446.92x = 10,135,471,523.10
  5. Step 5: Solve for x
    x = 10,135,471,523.10/124,446.92
  6. Step 6: Final answer
    x = 81,444.13

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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.