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Finding the Fourth Proportional to 140,649.90, 194,089.35 and 76,975.38

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Solution

The fourth proportional to 140,649.90, 194,089.35 and 76,975.38 is: 106,221.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,649.90 : 194,089.35 = 76,975.38 : x
  2. Step 2: Convert to fraction form
    140,649.90/194,089.35 = 76,975.38/x
  3. Step 3: Cross multiply
    140,649.90x = 194,089.35 × 76,975.38
  4. Step 4: Simplify right side
    140,649.90x = 14,940,101,470.20
  5. Step 5: Solve for x
    x = 14,940,101,470.20/140,649.90
  6. Step 6: Final answer
    x = 106,221.91

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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.