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Finding the Fourth Proportional to 159,978.24, 220,644 and 149,247.36

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Solution

The fourth proportional to 159,978.24, 220,644 and 149,247.36 is: 205,843.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,978.24 : 220,644 = 149,247.36 : x
  2. Step 2: Convert to fraction form
    159,978.24/220,644 = 149,247.36/x
  3. Step 3: Cross multiply
    159,978.24x = 220,644 × 149,247.36
  4. Step 4: Simplify right side
    159,978.24x = 32,930,534,499.84
  5. Step 5: Solve for x
    x = 32,930,534,499.84/159,978.24
  6. Step 6: Final answer
    x = 205,843.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.