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Finding the Fourth Proportional to 180,545.71, 270,796.66 and 91,862.86

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Solution

The fourth proportional to 180,545.71, 270,796.66 and 91,862.86 is: 137,783.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,545.71 : 270,796.66 = 91,862.86 : x
  2. Step 2: Convert to fraction form
    180,545.71/270,796.66 = 91,862.86/x
  3. Step 3: Cross multiply
    180,545.71x = 270,796.66 × 91,862.86
  4. Step 4: Simplify right side
    180,545.71x = 24,876,155,666.05
  5. Step 5: Solve for x
    x = 24,876,155,666.05/180,545.71
  6. Step 6: Final answer
    x = 137,783.14

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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.