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Finding the Fourth Proportional to 117,257.78, 161,815.23 and 63,542.84

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Solution

The fourth proportional to 117,257.78, 161,815.23 and 63,542.84 is: 87,688.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,257.78 : 161,815.23 = 63,542.84 : x
  2. Step 2: Convert to fraction form
    117,257.78/161,815.23 = 63,542.84/x
  3. Step 3: Cross multiply
    117,257.78x = 161,815.23 × 63,542.84
  4. Step 4: Simplify right side
    117,257.78x = 10,282,198,460.38
  5. Step 5: Solve for x
    x = 10,282,198,460.38/117,257.78
  6. Step 6: Final answer
    x = 87,688.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.