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Finding the Fourth Proportional to 165,732.70, 248,631.45 and 65,875.90

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Solution

The fourth proportional to 165,732.70, 248,631.45 and 65,875.90 is: 98,826.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,732.70 : 248,631.45 = 65,875.90 : x
  2. Step 2: Convert to fraction form
    165,732.70/248,631.45 = 65,875.90/x
  3. Step 3: Cross multiply
    165,732.70x = 248,631.45 × 65,875.90
  4. Step 4: Simplify right side
    165,732.70x = 16,378,820,537.06
  5. Step 5: Solve for x
    x = 16,378,820,537.06/165,732.70
  6. Step 6: Final answer
    x = 98,826.73

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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.