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Finding the Fourth Proportional to 234,983.76, 352,436.76 and 77,213.58

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Solution

The fourth proportional to 234,983.76, 352,436.76 and 77,213.58 is: 115,807.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,983.76 : 352,436.76 = 77,213.58 : x
  2. Step 2: Convert to fraction form
    234,983.76/352,436.76 = 77,213.58/x
  3. Step 3: Cross multiply
    234,983.76x = 352,436.76 × 77,213.58
  4. Step 4: Simplify right side
    234,983.76x = 27,212,903,963.20
  5. Step 5: Solve for x
    x = 27,212,903,963.20/234,983.76
  6. Step 6: Final answer
    x = 115,807.59

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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.