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Finding the Fourth Proportional to 123,106.64, 184,594.32 and 63,882.68

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Solution

The fourth proportional to 123,106.64, 184,594.32 and 63,882.68 is: 95,789.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,106.64 : 184,594.32 = 63,882.68 : x
  2. Step 2: Convert to fraction form
    123,106.64/184,594.32 = 63,882.68/x
  3. Step 3: Cross multiply
    123,106.64x = 184,594.32 × 63,882.68
  4. Step 4: Simplify right side
    123,106.64x = 11,792,379,874.38
  5. Step 5: Solve for x
    x = 11,792,379,874.38/123,106.64
  6. Step 6: Final answer
    x = 95,789.96

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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.