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Finding the Fourth Proportional to 214,799.94, 322,174.98 and 57,040.74

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Solution

The fourth proportional to 214,799.94, 322,174.98 and 57,040.74 is: 85,554.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,799.94 : 322,174.98 = 57,040.74 : x
  2. Step 2: Convert to fraction form
    214,799.94/322,174.98 = 57,040.74/x
  3. Step 3: Cross multiply
    214,799.94x = 322,174.98 × 57,040.74
  4. Step 4: Simplify right side
    214,799.94x = 18,377,099,268.69
  5. Step 5: Solve for x
    x = 18,377,099,268.69/214,799.94
  6. Step 6: Final answer
    x = 85,554.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.