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Finding the Fourth Proportional to 171,189.24, 256,685.04 and 52,828.80

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Solution

The fourth proportional to 171,189.24, 256,685.04 and 52,828.80 is: 79,212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,189.24 : 256,685.04 = 52,828.80 : x
  2. Step 2: Convert to fraction form
    171,189.24/256,685.04 = 52,828.80/x
  3. Step 3: Cross multiply
    171,189.24x = 256,685.04 × 52,828.80
  4. Step 4: Simplify right side
    171,189.24x = 13,560,362,641.15
  5. Step 5: Solve for x
    x = 13,560,362,641.15/171,189.24
  6. Step 6: Final answer
    x = 79,212.70

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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.