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Finding the Fourth Proportional to 160,142.16, 240,216.84 and 54,962

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Solution

The fourth proportional to 160,142.16, 240,216.84 and 54,962 is: 82,444.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,142.16 : 240,216.84 = 54,962 : x
  2. Step 2: Convert to fraction form
    160,142.16/240,216.84 = 54,962/x
  3. Step 3: Cross multiply
    160,142.16x = 240,216.84 × 54,962
  4. Step 4: Simplify right side
    160,142.16x = 13,202,797,960.08
  5. Step 5: Solve for x
    x = 13,202,797,960.08/160,142.16
  6. Step 6: Final answer
    x = 82,444.24

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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.