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Finding the Fourth Proportional to 140,668.68, 194,125.50 and 77,005.11

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Solution

The fourth proportional to 140,668.68, 194,125.50 and 77,005.11 is: 106,268.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,668.68 : 194,125.50 = 77,005.11 : x
  2. Step 2: Convert to fraction form
    140,668.68/194,125.50 = 77,005.11/x
  3. Step 3: Cross multiply
    140,668.68x = 194,125.50 × 77,005.11
  4. Step 4: Simplify right side
    140,668.68x = 14,948,655,481.31
  5. Step 5: Solve for x
    x = 14,948,655,481.31/140,668.68
  6. Step 6: Final answer
    x = 106,268.54

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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.