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Finding the Fourth Proportional to 142,503.32, 196,640.83 and 78,839.75

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Solution

The fourth proportional to 142,503.32, 196,640.83 and 78,839.75 is: 108,791.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,503.32 : 196,640.83 = 78,839.75 : x
  2. Step 2: Convert to fraction form
    142,503.32/196,640.83 = 78,839.75/x
  3. Step 3: Cross multiply
    142,503.32x = 196,640.83 × 78,839.75
  4. Step 4: Simplify right side
    142,503.32x = 15,503,114,171.50
  5. Step 5: Solve for x
    x = 15,503,114,171.50/142,503.32
  6. Step 6: Final answer
    x = 108,791.25

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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.