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Finding the Fourth Proportional to 214,753.20, 296,346.78 and 119,254.20

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Solution

The fourth proportional to 214,753.20, 296,346.78 and 119,254.20 is: 164,563.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,753.20 : 296,346.78 = 119,254.20 : x
  2. Step 2: Convert to fraction form
    214,753.20/296,346.78 = 119,254.20/x
  3. Step 3: Cross multiply
    214,753.20x = 296,346.78 × 119,254.20
  4. Step 4: Simplify right side
    214,753.20x = 35,340,598,171.48
  5. Step 5: Solve for x
    x = 35,340,598,171.48/214,753.20
  6. Step 6: Final answer
    x = 164,563.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.