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Finding the Fourth Proportional to 140,358.26, 193,694.90 and 76,696.06

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Solution

The fourth proportional to 140,358.26, 193,694.90 and 76,696.06 is: 105,840.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,358.26 : 193,694.90 = 76,696.06 : x
  2. Step 2: Convert to fraction form
    140,358.26/193,694.90 = 76,696.06/x
  3. Step 3: Cross multiply
    140,358.26x = 193,694.90 × 76,696.06
  4. Step 4: Simplify right side
    140,358.26x = 14,855,634,804.38
  5. Step 5: Solve for x
    x = 14,855,634,804.38/140,358.26
  6. Step 6: Final answer
    x = 105,840.83

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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.