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Finding the Fourth Proportional to 201,584.46, 302,642.38 and 117,422.22

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Solution

The fourth proportional to 201,584.46, 302,642.38 and 117,422.22 is: 176,288.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,584.46 : 302,642.38 = 117,422.22 : x
  2. Step 2: Convert to fraction form
    201,584.46/302,642.38 = 117,422.22/x
  3. Step 3: Cross multiply
    201,584.46x = 302,642.38 × 117,422.22
  4. Step 4: Simplify right side
    201,584.46x = 35,536,940,125.68
  5. Step 5: Solve for x
    x = 35,536,940,125.68/201,584.46
  6. Step 6: Final answer
    x = 176,288.09

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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.