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Finding the Fourth Proportional to 141,085, 194,696.68 and 77,423.84

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Solution

The fourth proportional to 141,085, 194,696.68 and 77,423.84 is: 106,844.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,085 : 194,696.68 = 77,423.84 : x
  2. Step 2: Convert to fraction form
    141,085/194,696.68 = 77,423.84/x
  3. Step 3: Cross multiply
    141,085x = 194,696.68 × 77,423.84
  4. Step 4: Simplify right side
    141,085x = 15,074,164,600.85
  5. Step 5: Solve for x
    x = 15,074,164,600.85/141,085
  6. Step 6: Final answer
    x = 106,844.56

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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.