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Finding the Fourth Proportional to 214,438.60, 321,657.90 and 161,216.20

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Solution

The fourth proportional to 214,438.60, 321,657.90 and 161,216.20 is: 241,824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,438.60 : 321,657.90 = 161,216.20 : x
  2. Step 2: Convert to fraction form
    214,438.60/321,657.90 = 161,216.20/x
  3. Step 3: Cross multiply
    214,438.60x = 321,657.90 × 161,216.20
  4. Step 4: Simplify right side
    214,438.60x = 51,856,464,337.98
  5. Step 5: Solve for x
    x = 51,856,464,337.98/214,438.60
  6. Step 6: Final answer
    x = 241,824.30

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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.