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Finding the Fourth Proportional to 129,660.20, 194,490.30 and 31,164.20

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Solution

The fourth proportional to 129,660.20, 194,490.30 and 31,164.20 is: 46,746.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,660.20 : 194,490.30 = 31,164.20 : x
  2. Step 2: Convert to fraction form
    129,660.20/194,490.30 = 31,164.20/x
  3. Step 3: Cross multiply
    129,660.20x = 194,490.30 × 31,164.20
  4. Step 4: Simplify right side
    129,660.20x = 6,061,133,634.81
  5. Step 5: Solve for x
    x = 6,061,133,634.81/129,660.20
  6. Step 6: Final answer
    x = 46,746.29

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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.