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Finding the Fourth Proportional to 123,029.70, 184,107.15 and 85,413.30

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Solution

The fourth proportional to 123,029.70, 184,107.15 and 85,413.30 is: 127,816.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,029.70 : 184,107.15 = 85,413.30 : x
  2. Step 2: Convert to fraction form
    123,029.70/184,107.15 = 85,413.30/x
  3. Step 3: Cross multiply
    123,029.70x = 184,107.15 × 85,413.30
  4. Step 4: Simplify right side
    123,029.70x = 15,725,199,235.10
  5. Step 5: Solve for x
    x = 15,725,199,235.10/123,029.70
  6. Step 6: Final answer
    x = 127,816.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.