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Finding the Fourth Proportional to 214,820.20, 322,230.30 and 164,996.20

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Solution

The fourth proportional to 214,820.20, 322,230.30 and 164,996.20 is: 247,494.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,820.20 : 322,230.30 = 164,996.20 : x
  2. Step 2: Convert to fraction form
    214,820.20/322,230.30 = 164,996.20/x
  3. Step 3: Cross multiply
    214,820.20x = 322,230.30 × 164,996.20
  4. Step 4: Simplify right side
    214,820.20x = 53,166,775,024.86
  5. Step 5: Solve for x
    x = 53,166,775,024.86/214,820.20
  6. Step 6: Final answer
    x = 247,494.30

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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.