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Finding the Fourth Proportional to 123,150.88, 184,726.78 and 34,404.24

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Solution

The fourth proportional to 123,150.88, 184,726.78 and 34,404.24 is: 51,606.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,150.88 : 184,726.78 = 34,404.24 : x
  2. Step 2: Convert to fraction form
    123,150.88/184,726.78 = 34,404.24/x
  3. Step 3: Cross multiply
    123,150.88x = 184,726.78 × 34,404.24
  4. Step 4: Simplify right side
    123,150.88x = 6,355,385,080.26
  5. Step 5: Solve for x
    x = 6,355,385,080.26/123,150.88
  6. Step 6: Final answer
    x = 51,606.49

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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.