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Finding the Fourth Proportional to 123,144.39, 184,638.78 and 52,030.08

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Solution

The fourth proportional to 123,144.39, 184,638.78 and 52,030.08 is: 78,012.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,144.39 : 184,638.78 = 52,030.08 : x
  2. Step 2: Convert to fraction form
    123,144.39/184,638.78 = 52,030.08/x
  3. Step 3: Cross multiply
    123,144.39x = 184,638.78 × 52,030.08
  4. Step 4: Simplify right side
    123,144.39x = 9,606,770,494.50
  5. Step 5: Solve for x
    x = 9,606,770,494.50/123,144.39
  6. Step 6: Final answer
    x = 78,012.25

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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.