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Finding the Fourth Proportional to 232,690.60, 321,142.98 and 157,234.60

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Solution

The fourth proportional to 232,690.60, 321,142.98 and 157,234.60 is: 217,003.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,690.60 : 321,142.98 = 157,234.60 : x
  2. Step 2: Convert to fraction form
    232,690.60/321,142.98 = 157,234.60/x
  3. Step 3: Cross multiply
    232,690.60x = 321,142.98 × 157,234.60
  4. Step 4: Simplify right side
    232,690.60x = 50,494,788,003.11
  5. Step 5: Solve for x
    x = 50,494,788,003.11/232,690.60
  6. Step 6: Final answer
    x = 217,003.99

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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.