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Finding the Fourth Proportional to 205,099.60, 307,649.40 and 149,112.40

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Solution

The fourth proportional to 205,099.60, 307,649.40 and 149,112.40 is: 223,668.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,099.60 : 307,649.40 = 149,112.40 : x
  2. Step 2: Convert to fraction form
    205,099.60/307,649.40 = 149,112.40/x
  3. Step 3: Cross multiply
    205,099.60x = 307,649.40 × 149,112.40
  4. Step 4: Simplify right side
    205,099.60x = 45,874,340,392.56
  5. Step 5: Solve for x
    x = 45,874,340,392.56/205,099.60
  6. Step 6: Final answer
    x = 223,668.60

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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.