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Finding the Fourth Proportional to 295,145.65, 407,299.09 and 167,821.23

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Solution

The fourth proportional to 295,145.65, 407,299.09 and 167,821.23 is: 231,592.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,145.65 : 407,299.09 = 167,821.23 : x
  2. Step 2: Convert to fraction form
    295,145.65/407,299.09 = 167,821.23/x
  3. Step 3: Cross multiply
    295,145.65x = 407,299.09 × 167,821.23
  4. Step 4: Simplify right side
    295,145.65x = 68,353,433,422.57
  5. Step 5: Solve for x
    x = 68,353,433,422.57/295,145.65
  6. Step 6: Final answer
    x = 231,592.21

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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.