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Finding the Fourth Proportional to 162,695.20, 244,042.80 and 57,524.80

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Solution

The fourth proportional to 162,695.20, 244,042.80 and 57,524.80 is: 86,287.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,695.20 : 244,042.80 = 57,524.80 : x
  2. Step 2: Convert to fraction form
    162,695.20/244,042.80 = 57,524.80/x
  3. Step 3: Cross multiply
    162,695.20x = 244,042.80 × 57,524.80
  4. Step 4: Simplify right side
    162,695.20x = 14,038,513,261.44
  5. Step 5: Solve for x
    x = 14,038,513,261.44/162,695.20
  6. Step 6: Final answer
    x = 86,287.20

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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.