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Finding the Fourth Proportional to 191,806.92, 287,755.74 and 86,625.18

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Solution

The fourth proportional to 191,806.92, 287,755.74 and 86,625.18 is: 129,958.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,806.92 : 287,755.74 = 86,625.18 : x
  2. Step 2: Convert to fraction form
    191,806.92/287,755.74 = 86,625.18/x
  3. Step 3: Cross multiply
    191,806.92x = 287,755.74 × 86,625.18
  4. Step 4: Simplify right side
    191,806.92x = 24,926,892,773.53
  5. Step 5: Solve for x
    x = 24,926,892,773.53/191,806.92
  6. Step 6: Final answer
    x = 129,958.26

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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.