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Finding the Fourth Proportional to 123,133.76, 184,626.66 and 48,164.48

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Solution

The fourth proportional to 123,133.76, 184,626.66 and 48,164.48 is: 72,217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,133.76 : 184,626.66 = 48,164.48 : x
  2. Step 2: Convert to fraction form
    123,133.76/184,626.66 = 48,164.48/x
  3. Step 3: Cross multiply
    123,133.76x = 184,626.66 × 48,164.48
  4. Step 4: Simplify right side
    123,133.76x = 8,892,447,073.04
  5. Step 5: Solve for x
    x = 8,892,447,073.04/123,133.76
  6. Step 6: Final answer
    x = 72,217.78

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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.