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Finding the Fourth Proportional to 142,812, 196,998.48 and 89,071.20

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Solution

The fourth proportional to 142,812, 196,998.48 and 89,071.20 is: 122,867.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,812 : 196,998.48 = 89,071.20 : x
  2. Step 2: Convert to fraction form
    142,812/196,998.48 = 89,071.20/x
  3. Step 3: Cross multiply
    142,812x = 196,998.48 × 89,071.20
  4. Step 4: Simplify right side
    142,812x = 17,546,891,011.78
  5. Step 5: Solve for x
    x = 17,546,891,011.78/142,812
  6. Step 6: Final answer
    x = 122,867.06

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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.