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Finding the Fourth Proportional to 213,882.30, 295,188.69 and 123,220.62

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Solution

The fourth proportional to 213,882.30, 295,188.69 and 123,220.62 is: 170,062.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,882.30 : 295,188.69 = 123,220.62 : x
  2. Step 2: Convert to fraction form
    213,882.30/295,188.69 = 123,220.62/x
  3. Step 3: Cross multiply
    213,882.30x = 295,188.69 × 123,220.62
  4. Step 4: Simplify right side
    213,882.30x = 36,373,333,398.79
  5. Step 5: Solve for x
    x = 36,373,333,398.79/213,882.30
  6. Step 6: Final answer
    x = 170,062.38

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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.