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Finding the Fourth Proportional to 266,437.82, 367,673.25 and 145,583.25

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Solution

The fourth proportional to 266,437.82, 367,673.25 and 145,583.25 is: 200,898.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,437.82 : 367,673.25 = 145,583.25 : x
  2. Step 2: Convert to fraction form
    266,437.82/367,673.25 = 145,583.25/x
  3. Step 3: Cross multiply
    266,437.82x = 367,673.25 × 145,583.25
  4. Step 4: Simplify right side
    266,437.82x = 53,527,067,037.02
  5. Step 5: Solve for x
    x = 53,527,067,037.02/266,437.82
  6. Step 6: Final answer
    x = 200,898.91

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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.