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Finding the Fourth Proportional to 145,241.80, 217,862.70 and 82,918.60

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Solution

The fourth proportional to 145,241.80, 217,862.70 and 82,918.60 is: 124,377.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,241.80 : 217,862.70 = 82,918.60 : x
  2. Step 2: Convert to fraction form
    145,241.80/217,862.70 = 82,918.60/x
  3. Step 3: Cross multiply
    145,241.80x = 217,862.70 × 82,918.60
  4. Step 4: Simplify right side
    145,241.80x = 18,064,870,076.22
  5. Step 5: Solve for x
    x = 18,064,870,076.22/145,241.80
  6. Step 6: Final answer
    x = 124,377.90

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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.