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Finding the Fourth Proportional to 191,484.50, 287,226.57 and 86,180.42

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Solution

The fourth proportional to 191,484.50, 287,226.57 and 86,180.42 is: 129,270.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,484.50 : 287,226.57 = 86,180.42 : x
  2. Step 2: Convert to fraction form
    191,484.50/287,226.57 = 86,180.42/x
  3. Step 3: Cross multiply
    191,484.50x = 287,226.57 × 86,180.42
  4. Step 4: Simplify right side
    191,484.50x = 24,753,306,437.76
  5. Step 5: Solve for x
    x = 24,753,306,437.76/191,484.50
  6. Step 6: Final answer
    x = 129,270.55

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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.