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Finding the Fourth Proportional to 174,765.20, 262,147.80 and 148,521.20

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Solution

The fourth proportional to 174,765.20, 262,147.80 and 148,521.20 is: 222,781.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,765.20 : 262,147.80 = 148,521.20 : x
  2. Step 2: Convert to fraction form
    174,765.20/262,147.80 = 148,521.20/x
  3. Step 3: Cross multiply
    174,765.20x = 262,147.80 × 148,521.20
  4. Step 4: Simplify right side
    174,765.20x = 38,934,505,833.36
  5. Step 5: Solve for x
    x = 38,934,505,833.36/174,765.20
  6. Step 6: Final answer
    x = 222,781.80

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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.