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Finding the Fourth Proportional to 141,778.34, 195,653.95 and 78,116.12

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Solution

The fourth proportional to 141,778.34, 195,653.95 and 78,116.12 is: 107,800.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,778.34 : 195,653.95 = 78,116.12 : x
  2. Step 2: Convert to fraction form
    141,778.34/195,653.95 = 78,116.12/x
  3. Step 3: Cross multiply
    141,778.34x = 195,653.95 × 78,116.12
  4. Step 4: Simplify right side
    141,778.34x = 15,283,726,263.11
  5. Step 5: Solve for x
    x = 15,283,726,263.11/141,778.34
  6. Step 6: Final answer
    x = 107,800.15

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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.