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Finding the Fourth Proportional to 317,105.88, 437,619.78 and 189,756.96

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Solution

The fourth proportional to 317,105.88, 437,619.78 and 189,756.96 is: 261,872.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,105.88 : 437,619.78 = 189,756.96 : x
  2. Step 2: Convert to fraction form
    317,105.88/437,619.78 = 189,756.96/x
  3. Step 3: Cross multiply
    317,105.88x = 437,619.78 × 189,756.96
  4. Step 4: Simplify right side
    317,105.88x = 83,041,399,088.67
  5. Step 5: Solve for x
    x = 83,041,399,088.67/317,105.88
  6. Step 6: Final answer
    x = 261,872.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.