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Finding the Fourth Proportional to 234,826.90, 352,290.03 and 77,042.14

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Solution

The fourth proportional to 234,826.90, 352,290.03 and 77,042.14 is: 115,579.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,826.90 : 352,290.03 = 77,042.14 : x
  2. Step 2: Convert to fraction form
    234,826.90/352,290.03 = 77,042.14/x
  3. Step 3: Cross multiply
    234,826.90x = 352,290.03 × 77,042.14
  4. Step 4: Simplify right side
    234,826.90x = 27,141,177,811.86
  5. Step 5: Solve for x
    x = 27,141,177,811.86/234,826.90
  6. Step 6: Final answer
    x = 115,579.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.