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Finding the Fourth Proportional to 140,696.76, 194,151.42 and 77,024.28

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Solution

The fourth proportional to 140,696.76, 194,151.42 and 77,024.28 is: 106,287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,696.76 : 194,151.42 = 77,024.28 : x
  2. Step 2: Convert to fraction form
    140,696.76/194,151.42 = 77,024.28/x
  3. Step 3: Cross multiply
    140,696.76x = 194,151.42 × 77,024.28
  4. Step 4: Simplify right side
    140,696.76x = 14,954,373,336.48
  5. Step 5: Solve for x
    x = 14,954,373,336.48/140,696.76
  6. Step 6: Final answer
    x = 106,287.97

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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.