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Finding the Fourth Proportional to 123,224.16, 184,847.88 and 34,477.68

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Solution

The fourth proportional to 123,224.16, 184,847.88 and 34,477.68 is: 51,719.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,224.16 : 184,847.88 = 34,477.68 : x
  2. Step 2: Convert to fraction form
    123,224.16/184,847.88 = 34,477.68/x
  3. Step 3: Cross multiply
    123,224.16x = 184,847.88 × 34,477.68
  4. Step 4: Simplify right side
    123,224.16x = 6,373,126,055.32
  5. Step 5: Solve for x
    x = 6,373,126,055.32/123,224.16
  6. Step 6: Final answer
    x = 51,719.78

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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.