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Finding the Fourth Proportional to 269,715.60, 404,573.40 and 164,739.60

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Solution

The fourth proportional to 269,715.60, 404,573.40 and 164,739.60 is: 247,109.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,715.60 : 404,573.40 = 164,739.60 : x
  2. Step 2: Convert to fraction form
    269,715.60/404,573.40 = 164,739.60/x
  3. Step 3: Cross multiply
    269,715.60x = 404,573.40 × 164,739.60
  4. Step 4: Simplify right side
    269,715.60x = 66,649,260,086.64
  5. Step 5: Solve for x
    x = 66,649,260,086.64/269,715.60
  6. Step 6: Final answer
    x = 247,109.40

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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.