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Finding the Fourth Proportional to 300,123.39, 414,167.26 and 164,159.99

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Solution

The fourth proportional to 300,123.39, 414,167.26 and 164,159.99 is: 226,539.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,123.39 : 414,167.26 = 164,159.99 : x
  2. Step 2: Convert to fraction form
    300,123.39/414,167.26 = 164,159.99/x
  3. Step 3: Cross multiply
    300,123.39x = 414,167.26 × 164,159.99
  4. Step 4: Simplify right side
    300,123.39x = 67,989,694,497.01
  5. Step 5: Solve for x
    x = 67,989,694,497.01/300,123.39
  6. Step 6: Final answer
    x = 226,539.14

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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.