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Finding the Fourth Proportional to 300,789, 415,088.82 and 166,653

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Solution

The fourth proportional to 300,789, 415,088.82 and 166,653 is: 229,981.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,789 : 415,088.82 = 166,653 : x
  2. Step 2: Convert to fraction form
    300,789/415,088.82 = 166,653/x
  3. Step 3: Cross multiply
    300,789x = 415,088.82 × 166,653
  4. Step 4: Simplify right side
    300,789x = 69,175,797,119.46
  5. Step 5: Solve for x
    x = 69,175,797,119.46/300,789
  6. Step 6: Final answer
    x = 229,981.14

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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.