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Finding the Fourth Proportional to 141,218.70, 194,834.85 and 83,875.56

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Solution

The fourth proportional to 141,218.70, 194,834.85 and 83,875.56 is: 115,720.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,218.70 : 194,834.85 = 83,875.56 : x
  2. Step 2: Convert to fraction form
    141,218.70/194,834.85 = 83,875.56/x
  3. Step 3: Cross multiply
    141,218.70x = 194,834.85 × 83,875.56
  4. Step 4: Simplify right side
    141,218.70x = 16,341,882,151.27
  5. Step 5: Solve for x
    x = 16,341,882,151.27/141,218.70
  6. Step 6: Final answer
    x = 115,720.38

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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.