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Finding the Fourth Proportional to 122,729.60, 184,202.40 and 72,747.20

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Solution

The fourth proportional to 122,729.60, 184,202.40 and 72,747.20 is: 109,184.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,729.60 : 184,202.40 = 72,747.20 : x
  2. Step 2: Convert to fraction form
    122,729.60/184,202.40 = 72,747.20/x
  3. Step 3: Cross multiply
    122,729.60x = 184,202.40 × 72,747.20
  4. Step 4: Simplify right side
    122,729.60x = 13,400,208,833.28
  5. Step 5: Solve for x
    x = 13,400,208,833.28/122,729.60
  6. Step 6: Final answer
    x = 109,184.82

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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.