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Finding the Fourth Proportional to 204,225.44, 281,752.44 and 150,637.46

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Solution

The fourth proportional to 204,225.44, 281,752.44 and 150,637.46 is: 207,821.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,225.44 : 281,752.44 = 150,637.46 : x
  2. Step 2: Convert to fraction form
    204,225.44/281,752.44 = 150,637.46/x
  3. Step 3: Cross multiply
    204,225.44x = 281,752.44 × 150,637.46
  4. Step 4: Simplify right side
    204,225.44x = 42,442,471,910.40
  5. Step 5: Solve for x
    x = 42,442,471,910.40/204,225.44
  6. Step 6: Final answer
    x = 207,821.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.