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Finding the Fourth Proportional to 140,615.70, 194,019.66 and 83,273.04

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Solution

The fourth proportional to 140,615.70, 194,019.66 and 83,273.04 is: 114,899.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,615.70 : 194,019.66 = 83,273.04 : x
  2. Step 2: Convert to fraction form
    140,615.70/194,019.66 = 83,273.04/x
  3. Step 3: Cross multiply
    140,615.70x = 194,019.66 × 83,273.04
  4. Step 4: Simplify right side
    140,615.70x = 16,156,606,907.97
  5. Step 5: Solve for x
    x = 16,156,606,907.97/140,615.70
  6. Step 6: Final answer
    x = 114,899.03

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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.