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Finding the Fourth Proportional to 200,537.46, 276,729.68 and 109,875.38

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Solution

The fourth proportional to 200,537.46, 276,729.68 and 109,875.38 is: 151,621.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,537.46 : 276,729.68 = 109,875.38 : x
  2. Step 2: Convert to fraction form
    200,537.46/276,729.68 = 109,875.38/x
  3. Step 3: Cross multiply
    200,537.46x = 276,729.68 × 109,875.38
  4. Step 4: Simplify right side
    200,537.46x = 30,405,776,814.25
  5. Step 5: Solve for x
    x = 30,405,776,814.25/200,537.46
  6. Step 6: Final answer
    x = 151,621.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.