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Finding the Fourth Proportional to 232,755, 349,152.75 and 64,275.54

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Solution

The fourth proportional to 232,755, 349,152.75 and 64,275.54 is: 96,418.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,755 : 349,152.75 = 64,275.54 : x
  2. Step 2: Convert to fraction form
    232,755/349,152.75 = 64,275.54/x
  3. Step 3: Cross multiply
    232,755x = 349,152.75 × 64,275.54
  4. Step 4: Simplify right side
    232,755x = 22,441,981,548.74
  5. Step 5: Solve for x
    x = 22,441,981,548.74/232,755
  6. Step 6: Final answer
    x = 96,418.90

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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.