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Finding the Fourth Proportional to 264,206.80, 396,358.20 and 86,664.40

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Solution

The fourth proportional to 264,206.80, 396,358.20 and 86,664.40 is: 130,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,206.80 : 396,358.20 = 86,664.40 : x
  2. Step 2: Convert to fraction form
    264,206.80/396,358.20 = 86,664.40/x
  3. Step 3: Cross multiply
    264,206.80x = 396,358.20 × 86,664.40
  4. Step 4: Simplify right side
    264,206.80x = 34,350,145,588.08
  5. Step 5: Solve for x
    x = 34,350,145,588.08/264,206.80
  6. Step 6: Final answer
    x = 130,012.34

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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.