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Finding the Fourth Proportional to 142,616.97, 196,803.93 and 78,073.85

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Solution

The fourth proportional to 142,616.97, 196,803.93 and 78,073.85 is: 107,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,616.97 : 196,803.93 = 78,073.85 : x
  2. Step 2: Convert to fraction form
    142,616.97/196,803.93 = 78,073.85/x
  3. Step 3: Cross multiply
    142,616.97x = 196,803.93 × 78,073.85
  4. Step 4: Simplify right side
    142,616.97x = 15,365,239,526.21
  5. Step 5: Solve for x
    x = 15,365,239,526.21/142,616.97
  6. Step 6: Final answer
    x = 107,737.80

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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.