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Finding the Fourth Proportional to 141,403.20, 211,827.16 and 82,114.84

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Solution

The fourth proportional to 141,403.20, 211,827.16 and 82,114.84 is: 123,011.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,403.20 : 211,827.16 = 82,114.84 : x
  2. Step 2: Convert to fraction form
    141,403.20/211,827.16 = 82,114.84/x
  3. Step 3: Cross multiply
    141,403.20x = 211,827.16 × 82,114.84
  4. Step 4: Simplify right side
    141,403.20x = 17,394,153,351.05
  5. Step 5: Solve for x
    x = 17,394,153,351.05/141,403.20
  6. Step 6: Final answer
    x = 123,011.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.