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Finding the Fourth Proportional to 129,471.74, 194,129.84 and 50,623.10

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Solution

The fourth proportional to 129,471.74, 194,129.84 and 50,623.10 is: 75,904.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,471.74 : 194,129.84 = 50,623.10 : x
  2. Step 2: Convert to fraction form
    129,471.74/194,129.84 = 50,623.10/x
  3. Step 3: Cross multiply
    129,471.74x = 194,129.84 × 50,623.10
  4. Step 4: Simplify right side
    129,471.74x = 9,827,454,303.30
  5. Step 5: Solve for x
    x = 9,827,454,303.30/129,471.74
  6. Step 6: Final answer
    x = 75,904.24

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Why These Related Problems?

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