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Finding the Fourth Proportional to 165,148.88, 227,999.88 and 108,724.28

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Solution

The fourth proportional to 165,148.88, 227,999.88 and 108,724.28 is: 150,101.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,148.88 : 227,999.88 = 108,724.28 : x
  2. Step 2: Convert to fraction form
    165,148.88/227,999.88 = 108,724.28/x
  3. Step 3: Cross multiply
    165,148.88x = 227,999.88 × 108,724.28
  4. Step 4: Simplify right side
    165,148.88x = 24,789,122,793.09
  5. Step 5: Solve for x
    x = 24,789,122,793.09/165,148.88
  6. Step 6: Final answer
    x = 150,101.67

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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.