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Finding the Fourth Proportional to 141,610.16, 212,064.84 and 82,265.84

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Solution

The fourth proportional to 141,610.16, 212,064.84 and 82,265.84 is: 123,195.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,610.16 : 212,064.84 = 82,265.84 : x
  2. Step 2: Convert to fraction form
    141,610.16/212,064.84 = 82,265.84/x
  3. Step 3: Cross multiply
    141,610.16x = 212,064.84 × 82,265.84
  4. Step 4: Simplify right side
    141,610.16x = 17,445,692,197.07
  5. Step 5: Solve for x
    x = 17,445,692,197.07/141,610.16
  6. Step 6: Final answer
    x = 123,195.20

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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.