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Finding the Fourth Proportional to 232,490.98, 320,755 and 151,964.97

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Solution

The fourth proportional to 232,490.98, 320,755 and 151,964.97 is: 209,657.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,490.98 : 320,755 = 151,964.97 : x
  2. Step 2: Convert to fraction form
    232,490.98/320,755 = 151,964.97/x
  3. Step 3: Cross multiply
    232,490.98x = 320,755 × 151,964.97
  4. Step 4: Simplify right side
    232,490.98x = 48,743,523,952.35
  5. Step 5: Solve for x
    x = 48,743,523,952.35/232,490.98
  6. Step 6: Final answer
    x = 209,657.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.