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Finding the Fourth Proportional to 98,142.80, 147,233.40 and 41,982.80

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Solution

The fourth proportional to 98,142.80, 147,233.40 and 41,982.80 is: 62,982.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,142.80 : 147,233.40 = 41,982.80 : x
  2. Step 2: Convert to fraction form
    98,142.80/147,233.40 = 41,982.80/x
  3. Step 3: Cross multiply
    98,142.80x = 147,233.40 × 41,982.80
  4. Step 4: Simplify right side
    98,142.80x = 6,181,270,385.52
  5. Step 5: Solve for x
    x = 6,181,270,385.52/98,142.80
  6. Step 6: Final answer
    x = 62,982.41

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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.