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Finding the Fourth Proportional to 234,969.60, 352,491.24 and 77,162.16

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Solution

The fourth proportional to 234,969.60, 352,491.24 and 77,162.16 is: 115,755.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,969.60 : 352,491.24 = 77,162.16 : x
  2. Step 2: Convert to fraction form
    234,969.60/352,491.24 = 77,162.16/x
  3. Step 3: Cross multiply
    234,969.60x = 352,491.24 × 77,162.16
  4. Step 4: Simplify right side
    234,969.60x = 27,198,985,459.48
  5. Step 5: Solve for x
    x = 27,198,985,459.48/234,969.60
  6. Step 6: Final answer
    x = 115,755.34

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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.