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Finding the Fourth Proportional to 165,965.20, 248,650.80 and 100,931.20

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Solution

The fourth proportional to 165,965.20, 248,650.80 and 100,931.20 is: 151,216.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,965.20 : 248,650.80 = 100,931.20 : x
  2. Step 2: Convert to fraction form
    165,965.20/248,650.80 = 100,931.20/x
  3. Step 3: Cross multiply
    165,965.20x = 248,650.80 × 100,931.20
  4. Step 4: Simplify right side
    165,965.20x = 25,096,623,624.96
  5. Step 5: Solve for x
    x = 25,096,623,624.96/165,965.20
  6. Step 6: Final answer
    x = 151,216.18

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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.