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Finding the Fourth Proportional to 159,040.80, 238,561.20 and 144,007.20

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Solution

The fourth proportional to 159,040.80, 238,561.20 and 144,007.20 is: 216,010.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,040.80 : 238,561.20 = 144,007.20 : x
  2. Step 2: Convert to fraction form
    159,040.80/238,561.20 = 144,007.20/x
  3. Step 3: Cross multiply
    159,040.80x = 238,561.20 × 144,007.20
  4. Step 4: Simplify right side
    159,040.80x = 34,354,530,440.64
  5. Step 5: Solve for x
    x = 34,354,530,440.64/159,040.80
  6. Step 6: Final answer
    x = 216,010.80

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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.