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Finding the Fourth Proportional to 381,684.61, 571,654.89 and 182,145.10

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Solution

The fourth proportional to 381,684.61, 571,654.89 and 182,145.10 is: 272,801.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,684.61 : 571,654.89 = 182,145.10 : x
  2. Step 2: Convert to fraction form
    381,684.61/571,654.89 = 182,145.10/x
  3. Step 3: Cross multiply
    381,684.61x = 571,654.89 × 182,145.10
  4. Step 4: Simplify right side
    381,684.61x = 104,124,137,104.54
  5. Step 5: Solve for x
    x = 104,124,137,104.54/381,684.61
  6. Step 6: Final answer
    x = 272,801.51

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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.