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Finding the Fourth Proportional to 206,041.38, 310,466.07 and 169,421.82

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Solution

The fourth proportional to 206,041.38, 310,466.07 and 169,421.82 is: 255,287.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,041.38 : 310,466.07 = 169,421.82 : x
  2. Step 2: Convert to fraction form
    206,041.38/310,466.07 = 169,421.82/x
  3. Step 3: Cross multiply
    206,041.38x = 310,466.07 × 169,421.82
  4. Step 4: Simplify right side
    206,041.38x = 52,599,726,627.65
  5. Step 5: Solve for x
    x = 52,599,726,627.65/206,041.38
  6. Step 6: Final answer
    x = 255,287.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.