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Finding the Fourth Proportional to 307,212, 423,952.56 and 165,900

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Solution

The fourth proportional to 307,212, 423,952.56 and 165,900 is: 228,942

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,212 : 423,952.56 = 165,900 : x
  2. Step 2: Convert to fraction form
    307,212/423,952.56 = 165,900/x
  3. Step 3: Cross multiply
    307,212x = 423,952.56 × 165,900
  4. Step 4: Simplify right side
    307,212x = 70,333,729,704
  5. Step 5: Solve for x
    x = 70,333,729,704/307,212
  6. Step 6: Final answer
    x = 228,942

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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.