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Finding the Fourth Proportional to 141,726, 195,581.88 and 78,063.60

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Solution

The fourth proportional to 141,726, 195,581.88 and 78,063.60 is: 107,727.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,726 : 195,581.88 = 78,063.60 : x
  2. Step 2: Convert to fraction form
    141,726/195,581.88 = 78,063.60/x
  3. Step 3: Cross multiply
    141,726x = 195,581.88 × 78,063.60
  4. Step 4: Simplify right side
    141,726x = 15,267,825,647.57
  5. Step 5: Solve for x
    x = 15,267,825,647.57/141,726
  6. Step 6: Final answer
    x = 107,727.77

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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.