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Finding the Fourth Proportional to 181,876.80, 272,815.20 and 55,516.80

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Solution

The fourth proportional to 181,876.80, 272,815.20 and 55,516.80 is: 83,275.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,876.80 : 272,815.20 = 55,516.80 : x
  2. Step 2: Convert to fraction form
    181,876.80/272,815.20 = 55,516.80/x
  3. Step 3: Cross multiply
    181,876.80x = 272,815.20 × 55,516.80
  4. Step 4: Simplify right side
    181,876.80x = 15,145,826,895.36
  5. Step 5: Solve for x
    x = 15,145,826,895.36/181,876.80
  6. Step 6: Final answer
    x = 83,275.20

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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.