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Finding the Fourth Proportional to 142,105.53, 196,105.23 and 78,442.88

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Solution

The fourth proportional to 142,105.53, 196,105.23 and 78,442.88 is: 108,250.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,105.53 : 196,105.23 = 78,442.88 : x
  2. Step 2: Convert to fraction form
    142,105.53/196,105.23 = 78,442.88/x
  3. Step 3: Cross multiply
    142,105.53x = 196,105.23 × 78,442.88
  4. Step 4: Simplify right side
    142,105.53x = 15,383,058,043.74
  5. Step 5: Solve for x
    x = 15,383,058,043.74/142,105.53
  6. Step 6: Final answer
    x = 108,250.94

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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.