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Finding the Fourth Proportional to 141,193.70, 194,834.61 and 77,530.10

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Solution

The fourth proportional to 141,193.70, 194,834.61 and 77,530.10 is: 106,984.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,193.70 : 194,834.61 = 77,530.10 : x
  2. Step 2: Convert to fraction form
    141,193.70/194,834.61 = 77,530.10/x
  3. Step 3: Cross multiply
    141,193.70x = 194,834.61 × 77,530.10
  4. Step 4: Simplify right side
    141,193.70x = 15,105,546,796.76
  5. Step 5: Solve for x
    x = 15,105,546,796.76/141,193.70
  6. Step 6: Final answer
    x = 106,984.57

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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.