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Finding the Fourth Proportional to 145,865.20, 218,797.80 and 123,314.80

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Solution

The fourth proportional to 145,865.20, 218,797.80 and 123,314.80 is: 184,972.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,865.20 : 218,797.80 = 123,314.80 : x
  2. Step 2: Convert to fraction form
    145,865.20/218,797.80 = 123,314.80/x
  3. Step 3: Cross multiply
    145,865.20x = 218,797.80 × 123,314.80
  4. Step 4: Simplify right side
    145,865.20x = 26,981,006,947.44
  5. Step 5: Solve for x
    x = 26,981,006,947.44/145,865.20
  6. Step 6: Final answer
    x = 184,972.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.