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Finding the Fourth Proportional to 191,891.82, 287,962.26 and 86,711.70

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Solution

The fourth proportional to 191,891.82, 287,962.26 and 86,711.70 is: 130,123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,891.82 : 287,962.26 = 86,711.70 : x
  2. Step 2: Convert to fraction form
    191,891.82/287,962.26 = 86,711.70/x
  3. Step 3: Cross multiply
    191,891.82x = 287,962.26 × 86,711.70
  4. Step 4: Simplify right side
    191,891.82x = 24,969,697,100.44
  5. Step 5: Solve for x
    x = 24,969,697,100.44/191,891.82
  6. Step 6: Final answer
    x = 130,123.82

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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.