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Finding the Fourth Proportional to 232,493.87, 348,416 and 125,647.48

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Solution

The fourth proportional to 232,493.87, 348,416 and 125,647.48 is: 188,295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,493.87 : 348,416 = 125,647.48 : x
  2. Step 2: Convert to fraction form
    232,493.87/348,416 = 125,647.48/x
  3. Step 3: Cross multiply
    232,493.87x = 348,416 × 125,647.48
  4. Step 4: Simplify right side
    232,493.87x = 43,777,592,391.68
  5. Step 5: Solve for x
    x = 43,777,592,391.68/232,493.87
  6. Step 6: Final answer
    x = 188,295.68

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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.