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Finding the Fourth Proportional to 295,923.27, 408,373.85 and 159,957.21

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Solution

The fourth proportional to 295,923.27, 408,373.85 and 159,957.21 is: 220,740.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,923.27 : 408,373.85 = 159,957.21 : x
  2. Step 2: Convert to fraction form
    295,923.27/408,373.85 = 159,957.21/x
  3. Step 3: Cross multiply
    295,923.27x = 408,373.85 × 159,957.21
  4. Step 4: Simplify right side
    295,923.27x = 65,322,343,614.25
  5. Step 5: Solve for x
    x = 65,322,343,614.25/295,923.27
  6. Step 6: Final answer
    x = 220,740.81

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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.