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Finding the Fourth Proportional to 142,111.66, 196,114.13 and 78,449.50

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Solution

The fourth proportional to 142,111.66, 196,114.13 and 78,449.50 is: 108,260.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,111.66 : 196,114.13 = 78,449.50 : x
  2. Step 2: Convert to fraction form
    142,111.66/196,114.13 = 78,449.50/x
  3. Step 3: Cross multiply
    142,111.66x = 196,114.13 × 78,449.50
  4. Step 4: Simplify right side
    142,111.66x = 15,385,055,441.44
  5. Step 5: Solve for x
    x = 15,385,055,441.44/142,111.66
  6. Step 6: Final answer
    x = 108,260.33

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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.