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Finding the Fourth Proportional to 191,447.84, 287,171.82 and 86,143.79

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Solution

The fourth proportional to 191,447.84, 287,171.82 and 86,143.79 is: 129,215.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,447.84 : 287,171.82 = 86,143.79 : x
  2. Step 2: Convert to fraction form
    191,447.84/287,171.82 = 86,143.79/x
  3. Step 3: Cross multiply
    191,447.84x = 287,171.82 × 86,143.79
  4. Step 4: Simplify right side
    191,447.84x = 24,738,067,520.14
  5. Step 5: Solve for x
    x = 24,738,067,520.14/191,447.84
  6. Step 6: Final answer
    x = 129,215.71

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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.