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Finding the Fourth Proportional to 191,453.85, 287,180.82 and 86,149.80

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Solution

The fourth proportional to 191,453.85, 287,180.82 and 86,149.80 is: 129,224.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,453.85 : 287,180.82 = 86,149.80 : x
  2. Step 2: Convert to fraction form
    191,453.85/287,180.82 = 86,149.80/x
  3. Step 3: Cross multiply
    191,453.85x = 287,180.82 × 86,149.80
  4. Step 4: Simplify right side
    191,453.85x = 24,740,570,206.84
  5. Step 5: Solve for x
    x = 24,740,570,206.84/191,453.85
  6. Step 6: Final answer
    x = 129,224.72

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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.