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Finding the Fourth Proportional to 141,084.96, 194,696.70 and 77,423.82

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Solution

The fourth proportional to 141,084.96, 194,696.70 and 77,423.82 is: 106,844.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,084.96 : 194,696.70 = 77,423.82 : x
  2. Step 2: Convert to fraction form
    141,084.96/194,696.70 = 77,423.82/x
  3. Step 3: Cross multiply
    141,084.96x = 194,696.70 × 77,423.82
  4. Step 4: Simplify right side
    141,084.96x = 15,074,162,255.39
  5. Step 5: Solve for x
    x = 15,074,162,255.39/141,084.96
  6. Step 6: Final answer
    x = 106,844.57

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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.