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Finding the Fourth Proportional to 165,286.60, 247,929.90 and 164,057.80

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Solution

The fourth proportional to 165,286.60, 247,929.90 and 164,057.80 is: 246,086.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,286.60 : 247,929.90 = 164,057.80 : x
  2. Step 2: Convert to fraction form
    165,286.60/247,929.90 = 164,057.80/x
  3. Step 3: Cross multiply
    165,286.60x = 247,929.90 × 164,057.80
  4. Step 4: Simplify right side
    165,286.60x = 40,674,833,948.22
  5. Step 5: Solve for x
    x = 40,674,833,948.22/165,286.60
  6. Step 6: Final answer
    x = 246,086.70

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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.