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Finding the Fourth Proportional to 213,861.39, 294,824.47 and 145,791.01

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Solution

The fourth proportional to 213,861.39, 294,824.47 and 145,791.01 is: 200,984.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,861.39 : 294,824.47 = 145,791.01 : x
  2. Step 2: Convert to fraction form
    213,861.39/294,824.47 = 145,791.01/x
  3. Step 3: Cross multiply
    213,861.39x = 294,824.47 × 145,791.01
  4. Step 4: Simplify right side
    213,861.39x = 42,982,757,254.01
  5. Step 5: Solve for x
    x = 42,982,757,254.01/213,861.39
  6. Step 6: Final answer
    x = 200,984.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.