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Finding the Fourth Proportional to 295,687.53, 408,048.96 and 159,721.48

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Solution

The fourth proportional to 295,687.53, 408,048.96 and 159,721.48 is: 220,415.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,687.53 : 408,048.96 = 159,721.48 : x
  2. Step 2: Convert to fraction form
    295,687.53/408,048.96 = 159,721.48/x
  3. Step 3: Cross multiply
    295,687.53x = 408,048.96 × 159,721.48
  4. Step 4: Simplify right side
    295,687.53x = 65,174,184,014.24
  5. Step 5: Solve for x
    x = 65,174,184,014.24/295,687.53
  6. Step 6: Final answer
    x = 220,415.73

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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.