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Finding the Fourth Proportional to 114,635.10, 158,201.38 and 63,647.83

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Solution

The fourth proportional to 114,635.10, 158,201.38 and 63,647.83 is: 87,836.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,635.10 : 158,201.38 = 63,647.83 : x
  2. Step 2: Convert to fraction form
    114,635.10/158,201.38 = 63,647.83/x
  3. Step 3: Cross multiply
    114,635.10x = 158,201.38 × 63,647.83
  4. Step 4: Simplify right side
    114,635.10x = 10,069,174,540.01
  5. Step 5: Solve for x
    x = 10,069,174,540.01/114,635.10
  6. Step 6: Final answer
    x = 87,836.75

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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.