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Finding the Fourth Proportional to 174,253.82, 261,383.61 and 47,893.28

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Solution

The fourth proportional to 174,253.82, 261,383.61 and 47,893.28 is: 71,840.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,253.82 : 261,383.61 = 47,893.28 : x
  2. Step 2: Convert to fraction form
    174,253.82/261,383.61 = 47,893.28/x
  3. Step 3: Cross multiply
    174,253.82x = 261,383.61 × 47,893.28
  4. Step 4: Simplify right side
    174,253.82x = 12,518,517,024.42
  5. Step 5: Solve for x
    x = 12,518,517,024.42/174,253.82
  6. Step 6: Final answer
    x = 71,840.71

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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.