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Finding the Fourth Proportional to 133,974.20, 200,615.70 and 106,326.20

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Solution

The fourth proportional to 133,974.20, 200,615.70 and 106,326.20 is: 159,215.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,974.20 : 200,615.70 = 106,326.20 : x
  2. Step 2: Convert to fraction form
    133,974.20/200,615.70 = 106,326.20/x
  3. Step 3: Cross multiply
    133,974.20x = 200,615.70 × 106,326.20
  4. Step 4: Simplify right side
    133,974.20x = 21,330,705,041.34
  5. Step 5: Solve for x
    x = 21,330,705,041.34/133,974.20
  6. Step 6: Final answer
    x = 159,215.02

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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.