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Finding the Fourth Proportional to 141,695, 195,539.12 and 78,032.68

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Solution

The fourth proportional to 141,695, 195,539.12 and 78,032.68 is: 107,685.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,695 : 195,539.12 = 78,032.68 : x
  2. Step 2: Convert to fraction form
    141,695/195,539.12 = 78,032.68/x
  3. Step 3: Cross multiply
    141,695x = 195,539.12 × 78,032.68
  4. Step 4: Simplify right side
    141,695x = 15,258,441,578.44
  5. Step 5: Solve for x
    x = 15,258,441,578.44/141,695
  6. Step 6: Final answer
    x = 107,685.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.