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Finding the Fourth Proportional to 209,044.80, 313,567.20 and 150,433.20

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Solution

The fourth proportional to 209,044.80, 313,567.20 and 150,433.20 is: 225,649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,044.80 : 313,567.20 = 150,433.20 : x
  2. Step 2: Convert to fraction form
    209,044.80/313,567.20 = 150,433.20/x
  3. Step 3: Cross multiply
    209,044.80x = 313,567.20 × 150,433.20
  4. Step 4: Simplify right side
    209,044.80x = 47,170,917,311.04
  5. Step 5: Solve for x
    x = 47,170,917,311.04/209,044.80
  6. Step 6: Final answer
    x = 225,649.80

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1.5x scale

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.