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Finding the Fourth Proportional to 271,225.65, 406,608.74 and 165,823.19

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Solution

The fourth proportional to 271,225.65, 406,608.74 and 165,823.19 is: 248,594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,225.65 : 406,608.74 = 165,823.19 : x
  2. Step 2: Convert to fraction form
    271,225.65/406,608.74 = 165,823.19/x
  3. Step 3: Cross multiply
    271,225.65x = 406,608.74 × 165,823.19
  4. Step 4: Simplify right side
    271,225.65x = 67,425,158,348.68
  5. Step 5: Solve for x
    x = 67,425,158,348.68/271,225.65
  6. Step 6: Final answer
    x = 248,594.33

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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.