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Finding the Fourth Proportional to 269,727.60, 404,591.40 and 164,751.60

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Solution

The fourth proportional to 269,727.60, 404,591.40 and 164,751.60 is: 247,127.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,727.60 : 404,591.40 = 164,751.60 : x
  2. Step 2: Convert to fraction form
    269,727.60/404,591.40 = 164,751.60/x
  3. Step 3: Cross multiply
    269,727.60x = 404,591.40 × 164,751.60
  4. Step 4: Simplify right side
    269,727.60x = 66,657,080,496.24
  5. Step 5: Solve for x
    x = 66,657,080,496.24/269,727.60
  6. Step 6: Final answer
    x = 247,127.40

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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.