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Finding the Fourth Proportional to 216,691.20, 299,116.80 and 131,803.20

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Solution

The fourth proportional to 216,691.20, 299,116.80 and 131,803.20 is: 181,938.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,691.20 : 299,116.80 = 131,803.20 : x
  2. Step 2: Convert to fraction form
    216,691.20/299,116.80 = 131,803.20/x
  3. Step 3: Cross multiply
    216,691.20x = 299,116.80 × 131,803.20
  4. Step 4: Simplify right side
    216,691.20x = 39,424,551,413.76
  5. Step 5: Solve for x
    x = 39,424,551,413.76/216,691.20
  6. Step 6: Final answer
    x = 181,938.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.