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Finding the Fourth Proportional to 142,164.64, 196,187.20 and 78,502.56

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Solution

The fourth proportional to 142,164.64, 196,187.20 and 78,502.56 is: 108,333.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,164.64 : 196,187.20 = 78,502.56 : x
  2. Step 2: Convert to fraction form
    142,164.64/196,187.20 = 78,502.56/x
  3. Step 3: Cross multiply
    142,164.64x = 196,187.20 × 78,502.56
  4. Step 4: Simplify right side
    142,164.64x = 15,401,197,439.23
  5. Step 5: Solve for x
    x = 15,401,197,439.23/142,164.64
  6. Step 6: Final answer
    x = 108,333.53

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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.