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Finding the Fourth Proportional to 205,105.40, 307,830.90 and 100,014.20

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Solution

The fourth proportional to 205,105.40, 307,830.90 and 100,014.20 is: 150,105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,105.40 : 307,830.90 = 100,014.20 : x
  2. Step 2: Convert to fraction form
    205,105.40/307,830.90 = 100,014.20/x
  3. Step 3: Cross multiply
    205,105.40x = 307,830.90 × 100,014.20
  4. Step 4: Simplify right side
    205,105.40x = 30,787,461,198.78
  5. Step 5: Solve for x
    x = 30,787,461,198.78/205,105.40
  6. Step 6: Final answer
    x = 150,105.56

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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.