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Finding the Fourth Proportional to 266,488, 367,758.26 and 145,634.38

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Solution

The fourth proportional to 266,488, 367,758.26 and 145,634.38 is: 200,978.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,488 : 367,758.26 = 145,634.38 : x
  2. Step 2: Convert to fraction form
    266,488/367,758.26 = 145,634.38/x
  3. Step 3: Cross multiply
    266,488x = 367,758.26 × 145,634.38
  4. Step 4: Simplify right side
    266,488x = 53,558,246,184.98
  5. Step 5: Solve for x
    x = 53,558,246,184.98/266,488
  6. Step 6: Final answer
    x = 200,978.08

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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.