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Finding the Fourth Proportional to 141,902.50, 195,826.80 and 78,242.58

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Solution

The fourth proportional to 141,902.50, 195,826.80 and 78,242.58 is: 107,975.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,902.50 : 195,826.80 = 78,242.58 : x
  2. Step 2: Convert to fraction form
    141,902.50/195,826.80 = 78,242.58/x
  3. Step 3: Cross multiply
    141,902.50x = 195,826.80 × 78,242.58
  4. Step 4: Simplify right side
    141,902.50x = 15,321,994,065.14
  5. Step 5: Solve for x
    x = 15,321,994,065.14/141,902.50
  6. Step 6: Final answer
    x = 107,975.50

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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.