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Finding the Fourth Proportional to 201,416.46, 301,665.15 and 96,309.78

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Solution

The fourth proportional to 201,416.46, 301,665.15 and 96,309.78 is: 144,244.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,416.46 : 301,665.15 = 96,309.78 : x
  2. Step 2: Convert to fraction form
    201,416.46/301,665.15 = 96,309.78/x
  3. Step 3: Cross multiply
    201,416.46x = 301,665.15 × 96,309.78
  4. Step 4: Simplify right side
    201,416.46x = 29,053,304,230.17
  5. Step 5: Solve for x
    x = 29,053,304,230.17/201,416.46
  6. Step 6: Final answer
    x = 144,244.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.