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Finding the Fourth Proportional to 165,643.20, 248,464.80 and 54,835.20

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Solution

The fourth proportional to 165,643.20, 248,464.80 and 54,835.20 is: 82,252.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,643.20 : 248,464.80 = 54,835.20 : x
  2. Step 2: Convert to fraction form
    165,643.20/248,464.80 = 54,835.20/x
  3. Step 3: Cross multiply
    165,643.20x = 248,464.80 × 54,835.20
  4. Step 4: Simplify right side
    165,643.20x = 13,624,617,000.96
  5. Step 5: Solve for x
    x = 13,624,617,000.96/165,643.20
  6. Step 6: Final answer
    x = 82,252.80

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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.