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Finding the Fourth Proportional to 141,857.74, 195,765.04 and 78,197.82

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Solution

The fourth proportional to 141,857.74, 195,765.04 and 78,197.82 is: 107,913.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,857.74 : 195,765.04 = 78,197.82 : x
  2. Step 2: Convert to fraction form
    141,857.74/195,765.04 = 78,197.82/x
  3. Step 3: Cross multiply
    141,857.74x = 195,765.04 × 78,197.82
  4. Step 4: Simplify right side
    141,857.74x = 15,308,399,360.21
  5. Step 5: Solve for x
    x = 15,308,399,360.21/141,857.74
  6. Step 6: Final answer
    x = 107,913.74

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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.