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Finding the Fourth Proportional to 234,206.25, 323,248.41 and 133,604.25

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Solution

The fourth proportional to 234,206.25, 323,248.41 and 133,604.25 is: 184,398.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,206.25 : 323,248.41 = 133,604.25 : x
  2. Step 2: Convert to fraction form
    234,206.25/323,248.41 = 133,604.25/x
  3. Step 3: Cross multiply
    234,206.25x = 323,248.41 × 133,604.25
  4. Step 4: Simplify right side
    234,206.25x = 43,187,361,381.74
  5. Step 5: Solve for x
    x = 43,187,361,381.74/234,206.25
  6. Step 6: Final answer
    x = 184,398.84

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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.