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Finding the Fourth Proportional to 159,389.76, 239,106.24 and 54,180.48

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Solution

The fourth proportional to 159,389.76, 239,106.24 and 54,180.48 is: 81,278.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,389.76 : 239,106.24 = 54,180.48 : x
  2. Step 2: Convert to fraction form
    159,389.76/239,106.24 = 54,180.48/x
  3. Step 3: Cross multiply
    159,389.76x = 239,106.24 × 54,180.48
  4. Step 4: Simplify right side
    159,389.76x = 12,954,890,854.20
  5. Step 5: Solve for x
    x = 12,954,890,854.20/159,389.76
  6. Step 6: Final answer
    x = 81,278.06

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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.