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Finding the Fourth Proportional to 191,726.20, 287,589.30 and 180,839.80

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Solution

The fourth proportional to 191,726.20, 287,589.30 and 180,839.80 is: 271,259.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,726.20 : 287,589.30 = 180,839.80 : x
  2. Step 2: Convert to fraction form
    191,726.20/287,589.30 = 180,839.80/x
  3. Step 3: Cross multiply
    191,726.20x = 287,589.30 × 180,839.80
  4. Step 4: Simplify right side
    191,726.20x = 52,007,591,494.14
  5. Step 5: Solve for x
    x = 52,007,591,494.14/191,726.20
  6. Step 6: Final answer
    x = 271,259.70

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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.