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Finding the Fourth Proportional to 142,049.39, 196,021.50 and 81,577.40

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Solution

The fourth proportional to 142,049.39, 196,021.50 and 81,577.40 is: 112,572.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,049.39 : 196,021.50 = 81,577.40 : x
  2. Step 2: Convert to fraction form
    142,049.39/196,021.50 = 81,577.40/x
  3. Step 3: Cross multiply
    142,049.39x = 196,021.50 × 81,577.40
  4. Step 4: Simplify right side
    142,049.39x = 15,990,924,314.10
  5. Step 5: Solve for x
    x = 15,990,924,314.10/142,049.39
  6. Step 6: Final answer
    x = 112,572.99

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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.