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Finding the Fourth Proportional to 123,924.96, 185,782.92 and 53,751.42

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Solution

The fourth proportional to 123,924.96, 185,782.92 and 53,751.42 is: 80,581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,924.96 : 185,782.92 = 53,751.42 : x
  2. Step 2: Convert to fraction form
    123,924.96/185,782.92 = 53,751.42/x
  3. Step 3: Cross multiply
    123,924.96x = 185,782.92 × 53,751.42
  4. Step 4: Simplify right side
    123,924.96x = 9,986,095,761.75
  5. Step 5: Solve for x
    x = 9,986,095,761.75/123,924.96
  6. Step 6: Final answer
    x = 80,581.80

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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.