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Finding the Fourth Proportional to 176,651.96, 243,782.84 and 96,081.24

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Solution

The fourth proportional to 176,651.96, 243,782.84 and 96,081.24 is: 132,593.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,651.96 : 243,782.84 = 96,081.24 : x
  2. Step 2: Convert to fraction form
    176,651.96/243,782.84 = 96,081.24/x
  3. Step 3: Cross multiply
    176,651.96x = 243,782.84 × 96,081.24
  4. Step 4: Simplify right side
    176,651.96x = 23,422,957,557.92
  5. Step 5: Solve for x
    x = 23,422,957,557.92/176,651.96
  6. Step 6: Final answer
    x = 132,593.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.