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Finding the Fourth Proportional to 144,751.68, 199,757.16 and 81,089.92

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Solution

The fourth proportional to 144,751.68, 199,757.16 and 81,089.92 is: 111,904.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,751.68 : 199,757.16 = 81,089.92 : x
  2. Step 2: Convert to fraction form
    144,751.68/199,757.16 = 81,089.92/x
  3. Step 3: Cross multiply
    144,751.68x = 199,757.16 × 81,089.92
  4. Step 4: Simplify right side
    144,751.68x = 16,198,292,123.83
  5. Step 5: Solve for x
    x = 16,198,292,123.83/144,751.68
  6. Step 6: Final answer
    x = 111,904.00

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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.