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Finding the Fourth Proportional to 202,468.26, 279,406.22 and 117,590.78

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Solution

The fourth proportional to 202,468.26, 279,406.22 and 117,590.78 is: 162,275.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,468.26 : 279,406.22 = 117,590.78 : x
  2. Step 2: Convert to fraction form
    202,468.26/279,406.22 = 117,590.78/x
  3. Step 3: Cross multiply
    202,468.26x = 279,406.22 × 117,590.78
  4. Step 4: Simplify right side
    202,468.26x = 32,855,595,346.65
  5. Step 5: Solve for x
    x = 32,855,595,346.65/202,468.26
  6. Step 6: Final answer
    x = 162,275.29

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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.