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Finding the Fourth Proportional to 165,871.70, 248,807.55 and 82,927.70

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Solution

The fourth proportional to 165,871.70, 248,807.55 and 82,927.70 is: 124,391.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,871.70 : 248,807.55 = 82,927.70 : x
  2. Step 2: Convert to fraction form
    165,871.70/248,807.55 = 82,927.70/x
  3. Step 3: Cross multiply
    165,871.70x = 248,807.55 × 82,927.70
  4. Step 4: Simplify right side
    165,871.70x = 20,633,037,864.14
  5. Step 5: Solve for x
    x = 20,633,037,864.14/165,871.70
  6. Step 6: Final answer
    x = 124,391.55

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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.