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Finding the Fourth Proportional to 295,692.80, 408,055.81 and 159,726.70

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Solution

The fourth proportional to 295,692.80, 408,055.81 and 159,726.70 is: 220,422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,692.80 : 408,055.81 = 159,726.70 : x
  2. Step 2: Convert to fraction form
    295,692.80/408,055.81 = 159,726.70/x
  3. Step 3: Cross multiply
    295,692.80x = 408,055.81 × 159,726.70
  4. Step 4: Simplify right side
    295,692.80x = 65,177,407,947.13
  5. Step 5: Solve for x
    x = 65,177,407,947.13/295,692.80
  6. Step 6: Final answer
    x = 220,422.71

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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.