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Finding the Fourth Proportional to 295,820.24, 408,231.24 and 161,685.20

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Solution

The fourth proportional to 295,820.24, 408,231.24 and 161,685.20 is: 223,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,820.24 : 408,231.24 = 161,685.20 : x
  2. Step 2: Convert to fraction form
    295,820.24/408,231.24 = 161,685.20/x
  3. Step 3: Cross multiply
    295,820.24x = 408,231.24 × 161,685.20
  4. Step 4: Simplify right side
    295,820.24x = 66,004,949,685.65
  5. Step 5: Solve for x
    x = 66,004,949,685.65/295,820.24
  6. Step 6: Final answer
    x = 223,125.20

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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.