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Finding the Fourth Proportional to 287,217.60, 431,020.80 and 129,364.80

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Solution

The fourth proportional to 287,217.60, 431,020.80 and 129,364.80 is: 194,134.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,217.60 : 431,020.80 = 129,364.80 : x
  2. Step 2: Convert to fraction form
    287,217.60/431,020.80 = 129,364.80/x
  3. Step 3: Cross multiply
    287,217.60x = 431,020.80 × 129,364.80
  4. Step 4: Simplify right side
    287,217.60x = 55,758,919,587.84
  5. Step 5: Solve for x
    x = 55,758,919,587.84/287,217.60
  6. Step 6: Final answer
    x = 194,134.76

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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.