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Finding the Fourth Proportional to 235,180.32, 352,819.08 and 77,418.24

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Solution

The fourth proportional to 235,180.32, 352,819.08 and 77,418.24 is: 116,143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,180.32 : 352,819.08 = 77,418.24 : x
  2. Step 2: Convert to fraction form
    235,180.32/352,819.08 = 77,418.24/x
  3. Step 3: Cross multiply
    235,180.32x = 352,819.08 × 77,418.24
  4. Step 4: Simplify right side
    235,180.32x = 27,314,632,212.02
  5. Step 5: Solve for x
    x = 27,314,632,212.02/235,180.32
  6. Step 6: Final answer
    x = 116,143.36

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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.