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Finding the Fourth Proportional to 142,180.70, 196,204 and 77,647.80

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Solution

The fourth proportional to 142,180.70, 196,204 and 77,647.80 is: 107,151.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,180.70 : 196,204 = 77,647.80 : x
  2. Step 2: Convert to fraction form
    142,180.70/196,204 = 77,647.80/x
  3. Step 3: Cross multiply
    142,180.70x = 196,204 × 77,647.80
  4. Step 4: Simplify right side
    142,180.70x = 15,234,808,951.20
  5. Step 5: Solve for x
    x = 15,234,808,951.20/142,180.70
  6. Step 6: Final answer
    x = 107,151.03

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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.