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Finding the Fourth Proportional to 142,170.36, 196,193.87 and 78,506.79

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Solution

The fourth proportional to 142,170.36, 196,193.87 and 78,506.79 is: 108,338.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,170.36 : 196,193.87 = 78,506.79 : x
  2. Step 2: Convert to fraction form
    142,170.36/196,193.87 = 78,506.79/x
  3. Step 3: Cross multiply
    142,170.36x = 196,193.87 × 78,506.79
  4. Step 4: Simplify right side
    142,170.36x = 15,402,550,558.84
  5. Step 5: Solve for x
    x = 15,402,550,558.84/142,170.36
  6. Step 6: Final answer
    x = 108,338.69

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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.