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Finding the Fourth Proportional to 313,171.84, 469,741.02 and 110,753.92

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Solution

The fourth proportional to 313,171.84, 469,741.02 and 110,753.92 is: 166,124.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,171.84 : 469,741.02 = 110,753.92 : x
  2. Step 2: Convert to fraction form
    313,171.84/469,741.02 = 110,753.92/x
  3. Step 3: Cross multiply
    313,171.84x = 469,741.02 × 110,753.92
  4. Step 4: Simplify right side
    313,171.84x = 52,025,659,349.80
  5. Step 5: Solve for x
    x = 52,025,659,349.80/313,171.84
  6. Step 6: Final answer
    x = 166,124.96

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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.