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Finding the Fourth Proportional to 123,149.14, 184,731.52 and 52,058.53

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Solution

The fourth proportional to 123,149.14, 184,731.52 and 52,058.53 is: 78,091.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,149.14 : 184,731.52 = 52,058.53 : x
  2. Step 2: Convert to fraction form
    123,149.14/184,731.52 = 52,058.53/x
  3. Step 3: Cross multiply
    123,149.14x = 184,731.52 × 52,058.53
  4. Step 4: Simplify right side
    123,149.14x = 9,616,851,464.43
  5. Step 5: Solve for x
    x = 9,616,851,464.43/123,149.14
  6. Step 6: Final answer
    x = 78,091.10

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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.