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Finding the Fourth Proportional to 214,241.40, 321,707.70 and 161,710.20

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Solution

The fourth proportional to 214,241.40, 321,707.70 and 161,710.20 is: 242,826.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,241.40 : 321,707.70 = 161,710.20 : x
  2. Step 2: Convert to fraction form
    214,241.40/321,707.70 = 161,710.20/x
  3. Step 3: Cross multiply
    214,241.40x = 321,707.70 × 161,710.20
  4. Step 4: Simplify right side
    214,241.40x = 52,023,416,508.54
  5. Step 5: Solve for x
    x = 52,023,416,508.54/214,241.40
  6. Step 6: Final answer
    x = 242,826.16

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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.