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Finding the Fourth Proportional to 161,281.80, 241,922.70 and 82,549.80

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Solution

The fourth proportional to 161,281.80, 241,922.70 and 82,549.80 is: 123,824.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,281.80 : 241,922.70 = 82,549.80 : x
  2. Step 2: Convert to fraction form
    161,281.80/241,922.70 = 82,549.80/x
  3. Step 3: Cross multiply
    161,281.80x = 241,922.70 × 82,549.80
  4. Step 4: Simplify right side
    161,281.80x = 19,970,670,500.46
  5. Step 5: Solve for x
    x = 19,970,670,500.46/161,281.80
  6. Step 6: Final answer
    x = 123,824.70

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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.