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Finding the Fourth Proportional to 214,773.92, 296,383.44 and 119,278.88

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Solution

The fourth proportional to 214,773.92, 296,383.44 and 119,278.88 is: 164,602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,773.92 : 296,383.44 = 119,278.88 : x
  2. Step 2: Convert to fraction form
    214,773.92/296,383.44 = 119,278.88/x
  3. Step 3: Cross multiply
    214,773.92x = 296,383.44 × 119,278.88
  4. Step 4: Simplify right side
    214,773.92x = 35,352,284,773.75
  5. Step 5: Solve for x
    x = 35,352,284,773.75/214,773.92
  6. Step 6: Final answer
    x = 164,602.32

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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.