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Finding the Fourth Proportional to 266,338.95, 399,508.42 and 97,786.35

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Solution

The fourth proportional to 266,338.95, 399,508.42 and 97,786.35 is: 146,679.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,338.95 : 399,508.42 = 97,786.35 : x
  2. Step 2: Convert to fraction form
    266,338.95/399,508.42 = 97,786.35/x
  3. Step 3: Cross multiply
    266,338.95x = 399,508.42 × 97,786.35
  4. Step 4: Simplify right side
    266,338.95x = 39,066,469,228.98
  5. Step 5: Solve for x
    x = 39,066,469,228.98/266,338.95
  6. Step 6: Final answer
    x = 146,679.52

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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.