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Finding the Fourth Proportional to 129,614.37, 194,403.05 and 40,856.32

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Solution

The fourth proportional to 129,614.37, 194,403.05 and 40,856.32 is: 61,278.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,614.37 : 194,403.05 = 40,856.32 : x
  2. Step 2: Convert to fraction form
    129,614.37/194,403.05 = 40,856.32/x
  3. Step 3: Cross multiply
    129,614.37x = 194,403.05 × 40,856.32
  4. Step 4: Simplify right side
    129,614.37x = 7,942,593,219.78
  5. Step 5: Solve for x
    x = 7,942,593,219.78/129,614.37
  6. Step 6: Final answer
    x = 61,278.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.