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Finding the Fourth Proportional to 141,852.47, 195,754.32 and 78,188.90

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Solution

The fourth proportional to 141,852.47, 195,754.32 and 78,188.90 is: 107,899.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,852.47 : 195,754.32 = 78,188.90 : x
  2. Step 2: Convert to fraction form
    141,852.47/195,754.32 = 78,188.90/x
  3. Step 3: Cross multiply
    141,852.47x = 195,754.32 × 78,188.90
  4. Step 4: Simplify right side
    141,852.47x = 15,305,813,972.28
  5. Step 5: Solve for x
    x = 15,305,813,972.28/141,852.47
  6. Step 6: Final answer
    x = 107,899.53

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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.