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Finding the Fourth Proportional to 295,687.17, 408,048.44 and 159,721.11

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Solution

The fourth proportional to 295,687.17, 408,048.44 and 159,721.11 is: 220,415.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,687.17 : 408,048.44 = 159,721.11 : x
  2. Step 2: Convert to fraction form
    295,687.17/408,048.44 = 159,721.11/x
  3. Step 3: Cross multiply
    295,687.17x = 408,048.44 × 159,721.11
  4. Step 4: Simplify right side
    295,687.17x = 65,173,949,770.57
  5. Step 5: Solve for x
    x = 65,173,949,770.57/295,687.17
  6. Step 6: Final answer
    x = 220,415.21

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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.