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Finding the Fourth Proportional to 234,057, 323,006.97 and 132,107.28

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Solution

The fourth proportional to 234,057, 323,006.97 and 132,107.28 is: 182,312.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,057 : 323,006.97 = 132,107.28 : x
  2. Step 2: Convert to fraction form
    234,057/323,006.97 = 132,107.28/x
  3. Step 3: Cross multiply
    234,057x = 323,006.97 × 132,107.28
  4. Step 4: Simplify right side
    234,057x = 42,671,572,227.74
  5. Step 5: Solve for x
    x = 42,671,572,227.74/234,057
  6. Step 6: Final answer
    x = 182,312.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.