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Finding the Fourth Proportional to 207,859.83, 311,822.41 and 67,585.65

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Solution

The fourth proportional to 207,859.83, 311,822.41 and 67,585.65 is: 101,389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,859.83 : 311,822.41 = 67,585.65 : x
  2. Step 2: Convert to fraction form
    207,859.83/311,822.41 = 67,585.65/x
  3. Step 3: Cross multiply
    207,859.83x = 311,822.41 × 67,585.65
  4. Step 4: Simplify right side
    207,859.83x = 21,074,720,264.42
  5. Step 5: Solve for x
    x = 21,074,720,264.42/207,859.83
  6. Step 6: Final answer
    x = 101,389.10

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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.