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Finding the Fourth Proportional to 141,047.11, 194,645.19 and 77,385.16

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Solution

The fourth proportional to 141,047.11, 194,645.19 and 77,385.16 is: 106,791.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,047.11 : 194,645.19 = 77,385.16 : x
  2. Step 2: Convert to fraction form
    141,047.11/194,645.19 = 77,385.16/x
  3. Step 3: Cross multiply
    141,047.11x = 194,645.19 × 77,385.16
  4. Step 4: Simplify right side
    141,047.11x = 15,062,649,171.38
  5. Step 5: Solve for x
    x = 15,062,649,171.38/141,047.11
  6. Step 6: Final answer
    x = 106,791.62

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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.