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Finding the Fourth Proportional to 120,986.80, 181,480.20 and 98,825.20

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Solution

The fourth proportional to 120,986.80, 181,480.20 and 98,825.20 is: 148,237.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,986.80 : 181,480.20 = 98,825.20 : x
  2. Step 2: Convert to fraction form
    120,986.80/181,480.20 = 98,825.20/x
  3. Step 3: Cross multiply
    120,986.80x = 181,480.20 × 98,825.20
  4. Step 4: Simplify right side
    120,986.80x = 17,934,817,061.04
  5. Step 5: Solve for x
    x = 17,934,817,061.04/120,986.80
  6. Step 6: Final answer
    x = 148,237.80

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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.