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Finding the Fourth Proportional to 200,476.82, 276,646.14 and 109,814.78

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Solution

The fourth proportional to 200,476.82, 276,646.14 and 109,814.78 is: 151,537.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,476.82 : 276,646.14 = 109,814.78 : x
  2. Step 2: Convert to fraction form
    200,476.82/276,646.14 = 109,814.78/x
  3. Step 3: Cross multiply
    200,476.82x = 276,646.14 × 109,814.78
  4. Step 4: Simplify right side
    200,476.82x = 30,379,835,001.95
  5. Step 5: Solve for x
    x = 30,379,835,001.95/200,476.82
  6. Step 6: Final answer
    x = 151,537.89

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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.