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Finding the Fourth Proportional to 214,229.37, 319,428.75 and 208,344.09

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Solution

The fourth proportional to 214,229.37, 319,428.75 and 208,344.09 is: 310,653.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,229.37 : 319,428.75 = 208,344.09 : x
  2. Step 2: Convert to fraction form
    214,229.37/319,428.75 = 208,344.09/x
  3. Step 3: Cross multiply
    214,229.37x = 319,428.75 × 208,344.09
  4. Step 4: Simplify right side
    214,229.37x = 66,551,092,238.59
  5. Step 5: Solve for x
    x = 66,551,092,238.59/214,229.37
  6. Step 6: Final answer
    x = 310,653.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.