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Finding the Fourth Proportional to 119,024.20, 178,287.90 and 55,898.20

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Solution

The fourth proportional to 119,024.20, 178,287.90 and 55,898.20 is: 83,730.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,024.20 : 178,287.90 = 55,898.20 : x
  2. Step 2: Convert to fraction form
    119,024.20/178,287.90 = 55,898.20/x
  3. Step 3: Cross multiply
    119,024.20x = 178,287.90 × 55,898.20
  4. Step 4: Simplify right side
    119,024.20x = 9,965,972,691.78
  5. Step 5: Solve for x
    x = 9,965,972,691.78/119,024.20
  6. Step 6: Final answer
    x = 83,730.64

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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.