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Finding the Fourth Proportional to 217,541.97, 326,274.03 and 138,421.17

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Solution

The fourth proportional to 217,541.97, 326,274.03 and 138,421.17 is: 207,606.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,541.97 : 326,274.03 = 138,421.17 : x
  2. Step 2: Convert to fraction form
    217,541.97/326,274.03 = 138,421.17/x
  3. Step 3: Cross multiply
    217,541.97x = 326,274.03 × 138,421.17
  4. Step 4: Simplify right side
    217,541.97x = 45,163,232,973.22
  5. Step 5: Solve for x
    x = 45,163,232,973.22/217,541.97
  6. Step 6: Final answer
    x = 207,606.99

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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.