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Finding the Fourth Proportional to 199,827.01, 299,732.28 and 111,023.88

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Solution

The fourth proportional to 199,827.01, 299,732.28 and 111,023.88 is: 166,531.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,827.01 : 299,732.28 = 111,023.88 : x
  2. Step 2: Convert to fraction form
    199,827.01/299,732.28 = 111,023.88/x
  3. Step 3: Cross multiply
    199,827.01x = 299,732.28 × 111,023.88
  4. Step 4: Simplify right side
    199,827.01x = 33,277,440,686.85
  5. Step 5: Solve for x
    x = 33,277,440,686.85/199,827.01
  6. Step 6: Final answer
    x = 166,531.24

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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.