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Finding the Fourth Proportional to 141,170.94, 194,819.04 and 77,508.99

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Solution

The fourth proportional to 141,170.94, 194,819.04 and 77,508.99 is: 106,964.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,170.94 : 194,819.04 = 77,508.99 : x
  2. Step 2: Convert to fraction form
    141,170.94/194,819.04 = 77,508.99/x
  3. Step 3: Cross multiply
    141,170.94x = 194,819.04 × 77,508.99
  4. Step 4: Simplify right side
    141,170.94x = 15,100,227,023.17
  5. Step 5: Solve for x
    x = 15,100,227,023.17/141,170.94
  6. Step 6: Final answer
    x = 106,964.13

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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.