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Finding the Fourth Proportional to 230,997, 346,495.52 and 55,893

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Solution

The fourth proportional to 230,997, 346,495.52 and 55,893 is: 83,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,997 : 346,495.52 = 55,893 : x
  2. Step 2: Convert to fraction form
    230,997/346,495.52 = 55,893/x
  3. Step 3: Cross multiply
    230,997x = 346,495.52 × 55,893
  4. Step 4: Simplify right side
    230,997x = 19,366,674,099.36
  5. Step 5: Solve for x
    x = 19,366,674,099.36/230,997
  6. Step 6: Final answer
    x = 83,839.50

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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.