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Finding the Fourth Proportional to 129,659.80, 194,100.90 and 77,042.20

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Solution

The fourth proportional to 129,659.80, 194,100.90 and 77,042.20 is: 115,332.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,659.80 : 194,100.90 = 77,042.20 : x
  2. Step 2: Convert to fraction form
    129,659.80/194,100.90 = 77,042.20/x
  3. Step 3: Cross multiply
    129,659.80x = 194,100.90 × 77,042.20
  4. Step 4: Simplify right side
    129,659.80x = 14,953,960,357.98
  5. Step 5: Solve for x
    x = 14,953,960,357.98/129,659.80
  6. Step 6: Final answer
    x = 115,332.28

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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.