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Finding the Fourth Proportional to 232,663.68, 348,997.68 and 149,616

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Solution

The fourth proportional to 232,663.68, 348,997.68 and 149,616 is: 224,425.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,663.68 : 348,997.68 = 149,616 : x
  2. Step 2: Convert to fraction form
    232,663.68/348,997.68 = 149,616/x
  3. Step 3: Cross multiply
    232,663.68x = 348,997.68 × 149,616
  4. Step 4: Simplify right side
    232,663.68x = 52,215,636,890.88
  5. Step 5: Solve for x
    x = 52,215,636,890.88/232,663.68
  6. Step 6: Final answer
    x = 224,425.39

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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.