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Finding the Fourth Proportional to 302,243.21, 417,098.34 and 164,425.14

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Solution

The fourth proportional to 302,243.21, 417,098.34 and 164,425.14 is: 226,908.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,243.21 : 417,098.34 = 164,425.14 : x
  2. Step 2: Convert to fraction form
    302,243.21/417,098.34 = 164,425.14/x
  3. Step 3: Cross multiply
    302,243.21x = 417,098.34 × 164,425.14
  4. Step 4: Simplify right side
    302,243.21x = 68,581,452,948.27
  5. Step 5: Solve for x
    x = 68,581,452,948.27/302,243.21
  6. Step 6: Final answer
    x = 226,908.17

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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.