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Finding the Fourth Proportional to 141,281.48, 212,043.72 and 82,034.84

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Solution

The fourth proportional to 141,281.48, 212,043.72 and 82,034.84 is: 123,122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,281.48 : 212,043.72 = 82,034.84 : x
  2. Step 2: Convert to fraction form
    141,281.48/212,043.72 = 82,034.84/x
  3. Step 3: Cross multiply
    141,281.48x = 212,043.72 × 82,034.84
  4. Step 4: Simplify right side
    141,281.48x = 17,394,972,643.20
  5. Step 5: Solve for x
    x = 17,394,972,643.20/141,281.48
  6. Step 6: Final answer
    x = 123,122.81

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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.