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Finding the Fourth Proportional to 129,394.70, 193,909.80 and 102,786.20

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Solution

The fourth proportional to 129,394.70, 193,909.80 and 102,786.20 is: 154,034.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,394.70 : 193,909.80 = 102,786.20 : x
  2. Step 2: Convert to fraction form
    129,394.70/193,909.80 = 102,786.20/x
  3. Step 3: Cross multiply
    129,394.70x = 193,909.80 × 102,786.20
  4. Step 4: Simplify right side
    129,394.70x = 19,931,251,484.76
  5. Step 5: Solve for x
    x = 19,931,251,484.76/129,394.70
  6. Step 6: Final answer
    x = 154,034.53

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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.