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Finding the Fourth Proportional to 381,006.90, 571,466.58 and 100,546.02

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Solution

The fourth proportional to 381,006.90, 571,466.58 and 100,546.02 is: 150,807.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,006.90 : 571,466.58 = 100,546.02 : x
  2. Step 2: Convert to fraction form
    381,006.90/571,466.58 = 100,546.02/x
  3. Step 3: Cross multiply
    381,006.90x = 571,466.58 × 100,546.02
  4. Step 4: Simplify right side
    381,006.90x = 57,458,690,182.01
  5. Step 5: Solve for x
    x = 57,458,690,182.01/381,006.90
  6. Step 6: Final answer
    x = 150,807.48

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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.