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Finding the Fourth Proportional to 164,466.75, 246,739.13 and 53,658.75

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Solution

The fourth proportional to 164,466.75, 246,739.13 and 53,658.75 is: 80,500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,466.75 : 246,739.13 = 53,658.75 : x
  2. Step 2: Convert to fraction form
    164,466.75/246,739.13 = 53,658.75/x
  3. Step 3: Cross multiply
    164,466.75x = 246,739.13 × 53,658.75
  4. Step 4: Simplify right side
    164,466.75x = 13,239,713,023.59
  5. Step 5: Solve for x
    x = 13,239,713,023.59/164,466.75
  6. Step 6: Final answer
    x = 80,500.85

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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.