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Finding the Fourth Proportional to 201,554.46, 302,443.10 and 83,198.13

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Solution

The fourth proportional to 201,554.46, 302,443.10 and 83,198.13 is: 124,843.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,554.46 : 302,443.10 = 83,198.13 : x
  2. Step 2: Convert to fraction form
    201,554.46/302,443.10 = 83,198.13/x
  3. Step 3: Cross multiply
    201,554.46x = 302,443.10 × 83,198.13
  4. Step 4: Simplify right side
    201,554.46x = 25,162,700,351.40
  5. Step 5: Solve for x
    x = 25,162,700,351.40/201,554.46
  6. Step 6: Final answer
    x = 124,843.18

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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.