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Finding the Fourth Proportional to 295,849.50, 408,272.31 and 161,713.50

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Solution

The fourth proportional to 295,849.50, 408,272.31 and 161,713.50 is: 223,164.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,849.50 : 408,272.31 = 161,713.50 : x
  2. Step 2: Convert to fraction form
    295,849.50/408,272.31 = 161,713.50/x
  3. Step 3: Cross multiply
    295,849.50x = 408,272.31 × 161,713.50
  4. Step 4: Simplify right side
    295,849.50x = 66,023,144,203.19
  5. Step 5: Solve for x
    x = 66,023,144,203.19/295,849.50
  6. Step 6: Final answer
    x = 223,164.63

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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.