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Finding the Fourth Proportional to 123,013.51, 184,101.77 and 75,603.60

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Solution

The fourth proportional to 123,013.51, 184,101.77 and 75,603.60 is: 113,148.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,013.51 : 184,101.77 = 75,603.60 : x
  2. Step 2: Convert to fraction form
    123,013.51/184,101.77 = 75,603.60/x
  3. Step 3: Cross multiply
    123,013.51x = 184,101.77 × 75,603.60
  4. Step 4: Simplify right side
    123,013.51x = 13,918,756,578.37
  5. Step 5: Solve for x
    x = 13,918,756,578.37/123,013.51
  6. Step 6: Final answer
    x = 113,148.19

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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.