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Finding the Fourth Proportional to 355,414.11, 533,214.63 and 127,732.73

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Solution

The fourth proportional to 355,414.11, 533,214.63 and 127,732.73 is: 191,632.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,414.11 : 533,214.63 = 127,732.73 : x
  2. Step 2: Convert to fraction form
    355,414.11/533,214.63 = 127,732.73/x
  3. Step 3: Cross multiply
    355,414.11x = 533,214.63 × 127,732.73
  4. Step 4: Simplify right side
    355,414.11x = 68,108,957,699.77
  5. Step 5: Solve for x
    x = 68,108,957,699.77/355,414.11
  6. Step 6: Final answer
    x = 191,632.68

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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.