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Finding the Fourth Proportional to 221,978.10, 332,967.15 and 81,791.40

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Solution

The fourth proportional to 221,978.10, 332,967.15 and 81,791.40 is: 122,687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,978.10 : 332,967.15 = 81,791.40 : x
  2. Step 2: Convert to fraction form
    221,978.10/332,967.15 = 81,791.40/x
  3. Step 3: Cross multiply
    221,978.10x = 332,967.15 × 81,791.40
  4. Step 4: Simplify right side
    221,978.10x = 27,233,849,352.51
  5. Step 5: Solve for x
    x = 27,233,849,352.51/221,978.10
  6. Step 6: Final answer
    x = 122,687.10

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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.