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Finding the Fourth Proportional to 122,751.60, 184,235.40 and 72,769.20

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Solution

The fourth proportional to 122,751.60, 184,235.40 and 72,769.20 is: 109,217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,751.60 : 184,235.40 = 72,769.20 : x
  2. Step 2: Convert to fraction form
    122,751.60/184,235.40 = 72,769.20/x
  3. Step 3: Cross multiply
    122,751.60x = 184,235.40 × 72,769.20
  4. Step 4: Simplify right side
    122,751.60x = 13,406,662,669.68
  5. Step 5: Solve for x
    x = 13,406,662,669.68/122,751.60
  6. Step 6: Final answer
    x = 109,217.82

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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.