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Finding the Fourth Proportional to 214,487.76, 321,735.42 and 74,250.84

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Solution

The fourth proportional to 214,487.76, 321,735.42 and 74,250.84 is: 111,377.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,487.76 : 321,735.42 = 74,250.84 : x
  2. Step 2: Convert to fraction form
    214,487.76/321,735.42 = 74,250.84/x
  3. Step 3: Cross multiply
    214,487.76x = 321,735.42 × 74,250.84
  4. Step 4: Simplify right side
    214,487.76x = 23,889,125,192.75
  5. Step 5: Solve for x
    x = 23,889,125,192.75/214,487.76
  6. Step 6: Final answer
    x = 111,377.57

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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.