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Finding the Fourth Proportional to 121,986.80, 182,980.20 and 99,825.20

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Solution

The fourth proportional to 121,986.80, 182,980.20 and 99,825.20 is: 149,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,986.80 : 182,980.20 = 99,825.20 : x
  2. Step 2: Convert to fraction form
    121,986.80/182,980.20 = 99,825.20/x
  3. Step 3: Cross multiply
    121,986.80x = 182,980.20 × 99,825.20
  4. Step 4: Simplify right side
    121,986.80x = 18,266,035,061.04
  5. Step 5: Solve for x
    x = 18,266,035,061.04/121,986.80
  6. Step 6: Final answer
    x = 149,737.80

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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.