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Finding the Fourth Proportional to 122,603.20, 184,077.60 and 75,947.20

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Solution

The fourth proportional to 122,603.20, 184,077.60 and 75,947.20 is: 114,027.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,603.20 : 184,077.60 = 75,947.20 : x
  2. Step 2: Convert to fraction form
    122,603.20/184,077.60 = 75,947.20/x
  3. Step 3: Cross multiply
    122,603.20x = 184,077.60 × 75,947.20
  4. Step 4: Simplify right side
    122,603.20x = 13,980,178,302.72
  5. Step 5: Solve for x
    x = 13,980,178,302.72/122,603.20
  6. Step 6: Final answer
    x = 114,027.84

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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.