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Finding the Fourth Proportional to 234,836, 352,180.08 and 77,027.76

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Solution

The fourth proportional to 234,836, 352,180.08 and 77,027.76 is: 115,517.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,836 : 352,180.08 = 77,027.76 : x
  2. Step 2: Convert to fraction form
    234,836/352,180.08 = 77,027.76/x
  3. Step 3: Cross multiply
    234,836x = 352,180.08 × 77,027.76
  4. Step 4: Simplify right side
    234,836x = 27,127,642,679.02
  5. Step 5: Solve for x
    x = 27,127,642,679.02/234,836
  6. Step 6: Final answer
    x = 115,517.39

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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.