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Finding the Fourth Proportional to 101,206.50, 151,809.75 and 27,334.50

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Solution

The fourth proportional to 101,206.50, 151,809.75 and 27,334.50 is: 41,001.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,206.50 : 151,809.75 = 27,334.50 : x
  2. Step 2: Convert to fraction form
    101,206.50/151,809.75 = 27,334.50/x
  3. Step 3: Cross multiply
    101,206.50x = 151,809.75 × 27,334.50
  4. Step 4: Simplify right side
    101,206.50x = 4,149,643,611.38
  5. Step 5: Solve for x
    x = 4,149,643,611.38/101,206.50
  6. Step 6: Final answer
    x = 41,001.75

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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.