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Finding the Fourth Proportional to 214,408.73, 296,231.58 and 182,480.76

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Solution

The fourth proportional to 214,408.73, 296,231.58 and 182,480.76 is: 252,119.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,408.73 : 296,231.58 = 182,480.76 : x
  2. Step 2: Convert to fraction form
    214,408.73/296,231.58 = 182,480.76/x
  3. Step 3: Cross multiply
    214,408.73x = 296,231.58 × 182,480.76
  4. Step 4: Simplify right side
    214,408.73x = 54,056,563,854.40
  5. Step 5: Solve for x
    x = 54,056,563,854.40/214,408.73
  6. Step 6: Final answer
    x = 252,119.23

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Double scale
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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.