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Finding the Fourth Proportional to 266,233.30, 399,459.30 and 97,834.30

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Solution

The fourth proportional to 266,233.30, 399,459.30 and 97,834.30 is: 146,791.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,233.30 : 399,459.30 = 97,834.30 : x
  2. Step 2: Convert to fraction form
    266,233.30/399,459.30 = 97,834.30/x
  3. Step 3: Cross multiply
    266,233.30x = 399,459.30 × 97,834.30
  4. Step 4: Simplify right side
    266,233.30x = 39,080,820,993.99
  5. Step 5: Solve for x
    x = 39,080,820,993.99/266,233.30
  6. Step 6: Final answer
    x = 146,791.63

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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.