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Finding the Fourth Proportional to 214,892.34, 322,338.15 and 57,120.79

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Solution

The fourth proportional to 214,892.34, 322,338.15 and 57,120.79 is: 85,681.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,892.34 : 322,338.15 = 57,120.79 : x
  2. Step 2: Convert to fraction form
    214,892.34/322,338.15 = 57,120.79/x
  3. Step 3: Cross multiply
    214,892.34x = 322,338.15 × 57,120.79
  4. Step 4: Simplify right side
    214,892.34x = 18,412,209,775.14
  5. Step 5: Solve for x
    x = 18,412,209,775.14/214,892.34
  6. Step 6: Final answer
    x = 85,681.09

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