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Finding the Fourth Proportional to 160,216.30, 240,340.74 and 55,021.60

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Solution

The fourth proportional to 160,216.30, 240,340.74 and 55,021.60 is: 82,537.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,216.30 : 240,340.74 = 55,021.60 : x
  2. Step 2: Convert to fraction form
    160,216.30/240,340.74 = 55,021.60/x
  3. Step 3: Cross multiply
    160,216.30x = 240,340.74 × 55,021.60
  4. Step 4: Simplify right side
    160,216.30x = 13,223,932,059.98
  5. Step 5: Solve for x
    x = 13,223,932,059.98/160,216.30
  6. Step 6: Final answer
    x = 82,537.99

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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.