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Finding the Fourth Proportional to 191,484, 287,226 and 86,179.92

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Solution

The fourth proportional to 191,484, 287,226 and 86,179.92 is: 129,269.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,484 : 287,226 = 86,179.92 : x
  2. Step 2: Convert to fraction form
    191,484/287,226 = 86,179.92/x
  3. Step 3: Cross multiply
    191,484x = 287,226 × 86,179.92
  4. Step 4: Simplify right side
    191,484x = 24,753,113,701.92
  5. Step 5: Solve for x
    x = 24,753,113,701.92/191,484
  6. Step 6: Final answer
    x = 129,269.88

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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.