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Finding the Fourth Proportional to 226,996.17, 340,496.99 and 77,239.53

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Solution

The fourth proportional to 226,996.17, 340,496.99 and 77,239.53 is: 115,860.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,996.17 : 340,496.99 = 77,239.53 : x
  2. Step 2: Convert to fraction form
    226,996.17/340,496.99 = 77,239.53/x
  3. Step 3: Cross multiply
    226,996.17x = 340,496.99 × 77,239.53
  4. Step 4: Simplify right side
    226,996.17x = 26,299,827,087.82
  5. Step 5: Solve for x
    x = 26,299,827,087.82/226,996.17
  6. Step 6: Final answer
    x = 115,860.22

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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.