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Finding the Fourth Proportional to 266,379.24, 399,436.74 and 97,892.76

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Solution

The fourth proportional to 266,379.24, 399,436.74 and 97,892.76 is: 146,790.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,379.24 : 399,436.74 = 97,892.76 : x
  2. Step 2: Convert to fraction form
    266,379.24/399,436.74 = 97,892.76/x
  3. Step 3: Cross multiply
    266,379.24x = 399,436.74 × 97,892.76
  4. Step 4: Simplify right side
    266,379.24x = 39,101,964,924.00
  5. Step 5: Solve for x
    x = 39,101,964,924.00/266,379.24
  6. Step 6: Final answer
    x = 146,790.59

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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.