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Finding the Fourth Proportional to 151,809.20, 227,713.80 and 106,538.30

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Solution

The fourth proportional to 151,809.20, 227,713.80 and 106,538.30 is: 159,807.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,809.20 : 227,713.80 = 106,538.30 : x
  2. Step 2: Convert to fraction form
    151,809.20/227,713.80 = 106,538.30/x
  3. Step 3: Cross multiply
    151,809.20x = 227,713.80 × 106,538.30
  4. Step 4: Simplify right side
    151,809.20x = 24,260,241,138.54
  5. Step 5: Solve for x
    x = 24,260,241,138.54/151,809.20
  6. Step 6: Final answer
    x = 159,807.45

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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.