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Finding the Fourth Proportional to 165,864.80, 248,797.20 and 41,205.80

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Solution

The fourth proportional to 165,864.80, 248,797.20 and 41,205.80 is: 61,808.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,864.80 : 248,797.20 = 41,205.80 : x
  2. Step 2: Convert to fraction form
    165,864.80/248,797.20 = 41,205.80/x
  3. Step 3: Cross multiply
    165,864.80x = 248,797.20 × 41,205.80
  4. Step 4: Simplify right side
    165,864.80x = 10,251,887,663.76
  5. Step 5: Solve for x
    x = 10,251,887,663.76/165,864.80
  6. Step 6: Final answer
    x = 61,808.70

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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.