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Finding the Fourth Proportional to 162,764, 244,147.52 and 57,600.80

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Solution

The fourth proportional to 162,764, 244,147.52 and 57,600.80 is: 86,401.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,764 : 244,147.52 = 57,600.80 : x
  2. Step 2: Convert to fraction form
    162,764/244,147.52 = 57,600.80/x
  3. Step 3: Cross multiply
    162,764x = 244,147.52 × 57,600.80
  4. Step 4: Simplify right side
    162,764x = 14,063,092,470.02
  5. Step 5: Solve for x
    x = 14,063,092,470.02/162,764
  6. Step 6: Final answer
    x = 86,401.74

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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.