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Finding the Fourth Proportional to 282,374.61, 423,644.76 and 113,808.39

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Solution

The fourth proportional to 282,374.61, 423,644.76 and 113,808.39 is: 170,745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,374.61 : 423,644.76 = 113,808.39 : x
  2. Step 2: Convert to fraction form
    282,374.61/423,644.76 = 113,808.39/x
  3. Step 3: Cross multiply
    282,374.61x = 423,644.76 × 113,808.39
  4. Step 4: Simplify right side
    282,374.61x = 48,214,328,067.54
  5. Step 5: Solve for x
    x = 48,214,328,067.54/282,374.61
  6. Step 6: Final answer
    x = 170,745.97

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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.