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Finding the Fourth Proportional to 141,867.74, 195,775.34 and 78,204.16

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Solution

The fourth proportional to 141,867.74, 195,775.34 and 78,204.16 is: 107,920.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,867.74 : 195,775.34 = 78,204.16 : x
  2. Step 2: Convert to fraction form
    141,867.74/195,775.34 = 78,204.16/x
  3. Step 3: Cross multiply
    141,867.74x = 195,775.34 × 78,204.16
  4. Step 4: Simplify right side
    141,867.74x = 15,310,446,013.41
  5. Step 5: Solve for x
    x = 15,310,446,013.41/141,867.74
  6. Step 6: Final answer
    x = 107,920.56

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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.