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Finding the Fourth Proportional to 200,551.66, 300,493.96 and 141,262.09

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Solution

The fourth proportional to 200,551.66, 300,493.96 and 141,262.09 is: 211,658.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,551.66 : 300,493.96 = 141,262.09 : x
  2. Step 2: Convert to fraction form
    200,551.66/300,493.96 = 141,262.09/x
  3. Step 3: Cross multiply
    200,551.66x = 300,493.96 × 141,262.09
  4. Step 4: Simplify right side
    200,551.66x = 42,448,403,717.59
  5. Step 5: Solve for x
    x = 42,448,403,717.59/200,551.66
  6. Step 6: Final answer
    x = 211,658.20

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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.