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Finding the Fourth Proportional to 141,214.59, 194,874.00 and 80,800.08

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Solution

The fourth proportional to 141,214.59, 194,874.00 and 80,800.08 is: 111,502.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,214.59 : 194,874.00 = 80,800.08 : x
  2. Step 2: Convert to fraction form
    141,214.59/194,874.00 = 80,800.08/x
  3. Step 3: Cross multiply
    141,214.59x = 194,874.00 × 80,800.08
  4. Step 4: Simplify right side
    141,214.59x = 15,745,835,306.81
  5. Step 5: Solve for x
    x = 15,745,835,306.81/141,214.59
  6. Step 6: Final answer
    x = 111,502.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.