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Finding the Fourth Proportional to 141,878.80, 212,818.20 and 82,781.20

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Solution

The fourth proportional to 141,878.80, 212,818.20 and 82,781.20 is: 124,171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,878.80 : 212,818.20 = 82,781.20 : x
  2. Step 2: Convert to fraction form
    141,878.80/212,818.20 = 82,781.20/x
  3. Step 3: Cross multiply
    141,878.80x = 212,818.20 × 82,781.20
  4. Step 4: Simplify right side
    141,878.80x = 17,617,345,977.84
  5. Step 5: Solve for x
    x = 17,617,345,977.84/141,878.80
  6. Step 6: Final answer
    x = 124,171.80

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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.