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Finding the Fourth Proportional to 140,649.88, 194,097.08 and 76,991.72

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Solution

The fourth proportional to 140,649.88, 194,097.08 and 76,991.72 is: 106,248.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,649.88 : 194,097.08 = 76,991.72 : x
  2. Step 2: Convert to fraction form
    140,649.88/194,097.08 = 76,991.72/x
  3. Step 3: Cross multiply
    140,649.88x = 194,097.08 × 76,991.72
  4. Step 4: Simplify right side
    140,649.88x = 14,943,868,036.18
  5. Step 5: Solve for x
    x = 14,943,868,036.18/140,649.88
  6. Step 6: Final answer
    x = 106,248.71

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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.