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Finding the Fourth Proportional to 217,033.39, 299,499.12 and 120,233.28

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Solution

The fourth proportional to 217,033.39, 299,499.12 and 120,233.28 is: 165,918.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,033.39 : 299,499.12 = 120,233.28 : x
  2. Step 2: Convert to fraction form
    217,033.39/299,499.12 = 120,233.28/x
  3. Step 3: Cross multiply
    217,033.39x = 299,499.12 × 120,233.28
  4. Step 4: Simplify right side
    217,033.39x = 36,009,761,554.71
  5. Step 5: Solve for x
    x = 36,009,761,554.71/217,033.39
  6. Step 6: Final answer
    x = 165,918.07

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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.