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Finding the Fourth Proportional to 214,016.18, 322,496.54 and 177,400.33

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Solution

The fourth proportional to 214,016.18, 322,496.54 and 177,400.33 is: 267,320.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,016.18 : 322,496.54 = 177,400.33 : x
  2. Step 2: Convert to fraction form
    214,016.18/322,496.54 = 177,400.33/x
  3. Step 3: Cross multiply
    214,016.18x = 322,496.54 × 177,400.33
  4. Step 4: Simplify right side
    214,016.18x = 57,210,991,591.87
  5. Step 5: Solve for x
    x = 57,210,991,591.87/214,016.18
  6. Step 6: Final answer
    x = 267,320.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.