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Finding the Fourth Proportional to 317,106.88, 437,621.16 and 189,757.96

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Solution

The fourth proportional to 317,106.88, 437,621.16 and 189,757.96 is: 261,874.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,106.88 : 437,621.16 = 189,757.96 : x
  2. Step 2: Convert to fraction form
    317,106.88/437,621.16 = 189,757.96/x
  3. Step 3: Cross multiply
    317,106.88x = 437,621.16 × 189,757.96
  4. Step 4: Simplify right side
    317,106.88x = 83,042,098,574.43
  5. Step 5: Solve for x
    x = 83,042,098,574.43/317,106.88
  6. Step 6: Final answer
    x = 261,874.16

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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.