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Finding the Fourth Proportional to 180,543.71, 270,793.67 and 91,860.86

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Solution

The fourth proportional to 180,543.71, 270,793.67 and 91,860.86 is: 137,780.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,543.71 : 270,793.67 = 91,860.86 : x
  2. Step 2: Convert to fraction form
    180,543.71/270,793.67 = 91,860.86/x
  3. Step 3: Cross multiply
    180,543.71x = 270,793.67 × 91,860.86
  4. Step 4: Simplify right side
    180,543.71x = 24,875,337,595.48
  5. Step 5: Solve for x
    x = 24,875,337,595.48/180,543.71
  6. Step 6: Final answer
    x = 137,780.14

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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.