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Finding the Fourth Proportional to 165,659.30, 248,488.95 and 54,851.30

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Solution

The fourth proportional to 165,659.30, 248,488.95 and 54,851.30 is: 82,276.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,659.30 : 248,488.95 = 54,851.30 : x
  2. Step 2: Convert to fraction form
    165,659.30/248,488.95 = 54,851.30/x
  3. Step 3: Cross multiply
    165,659.30x = 248,488.95 × 54,851.30
  4. Step 4: Simplify right side
    165,659.30x = 13,629,941,943.14
  5. Step 5: Solve for x
    x = 13,629,941,943.14/165,659.30
  6. Step 6: Final answer
    x = 82,276.95

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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.