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Finding the Fourth Proportional to 122,647.64, 184,023.30 and 52,559.96

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Solution

The fourth proportional to 122,647.64, 184,023.30 and 52,559.96 is: 78,862.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,647.64 : 184,023.30 = 52,559.96 : x
  2. Step 2: Convert to fraction form
    122,647.64/184,023.30 = 52,559.96/x
  3. Step 3: Cross multiply
    122,647.64x = 184,023.30 × 52,559.96
  4. Step 4: Simplify right side
    122,647.64x = 9,672,257,287.07
  5. Step 5: Solve for x
    x = 9,672,257,287.07/122,647.64
  6. Step 6: Final answer
    x = 78,862.16

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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.