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Finding the Fourth Proportional to 214,910.96, 296,564.10 and 119,414.40

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Solution

The fourth proportional to 214,910.96, 296,564.10 and 119,414.40 is: 164,784.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,910.96 : 296,564.10 = 119,414.40 : x
  2. Step 2: Convert to fraction form
    214,910.96/296,564.10 = 119,414.40/x
  3. Step 3: Cross multiply
    214,910.96x = 296,564.10 × 119,414.40
  4. Step 4: Simplify right side
    214,910.96x = 35,414,024,063.04
  5. Step 5: Solve for x
    x = 35,414,024,063.04/214,910.96
  6. Step 6: Final answer
    x = 164,784.63

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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.