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Finding the Fourth Proportional to 141,743, 195,603.24 and 78,080.84

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Solution

The fourth proportional to 141,743, 195,603.24 and 78,080.84 is: 107,750.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,743 : 195,603.24 = 78,080.84 : x
  2. Step 2: Convert to fraction form
    141,743/195,603.24 = 78,080.84/x
  3. Step 3: Cross multiply
    141,743x = 195,603.24 × 78,080.84
  4. Step 4: Simplify right side
    141,743x = 15,272,865,285.92
  5. Step 5: Solve for x
    x = 15,272,865,285.92/141,743
  6. Step 6: Final answer
    x = 107,750.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.