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Finding the Fourth Proportional to 142,116.80, 196,162.29 and 84,027.24

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Solution

The fourth proportional to 142,116.80, 196,162.29 and 84,027.24 is: 115,981.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,116.80 : 196,162.29 = 84,027.24 : x
  2. Step 2: Convert to fraction form
    142,116.80/196,162.29 = 84,027.24/x
  3. Step 3: Cross multiply
    142,116.80x = 196,162.29 × 84,027.24
  4. Step 4: Simplify right side
    142,116.80x = 16,482,975,820.78
  5. Step 5: Solve for x
    x = 16,482,975,820.78/142,116.80
  6. Step 6: Final answer
    x = 115,981.90

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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.