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Finding the Fourth Proportional to 140,685.80, 194,151.29 and 77,024.03

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Solution

The fourth proportional to 140,685.80, 194,151.29 and 77,024.03 is: 106,295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,685.80 : 194,151.29 = 77,024.03 : x
  2. Step 2: Convert to fraction form
    140,685.80/194,151.29 = 77,024.03/x
  3. Step 3: Cross multiply
    140,685.80x = 194,151.29 × 77,024.03
  4. Step 4: Simplify right side
    140,685.80x = 14,954,313,429.62
  5. Step 5: Solve for x
    x = 14,954,313,429.62/140,685.80
  6. Step 6: Final answer
    x = 106,295.83

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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.