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Finding the Fourth Proportional to 170,827.20, 256,240.80 and 108,772.80

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Solution

The fourth proportional to 170,827.20, 256,240.80 and 108,772.80 is: 163,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,827.20 : 256,240.80 = 108,772.80 : x
  2. Step 2: Convert to fraction form
    170,827.20/256,240.80 = 108,772.80/x
  3. Step 3: Cross multiply
    170,827.20x = 256,240.80 × 108,772.80
  4. Step 4: Simplify right side
    170,827.20x = 27,872,029,290.24
  5. Step 5: Solve for x
    x = 27,872,029,290.24/170,827.20
  6. Step 6: Final answer
    x = 163,159.20

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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.