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Finding the Fourth Proportional to 214,232.37, 320,951.25 and 107,490.98

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Solution

The fourth proportional to 214,232.37, 320,951.25 and 107,490.98 is: 161,037.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,232.37 : 320,951.25 = 107,490.98 : x
  2. Step 2: Convert to fraction form
    214,232.37/320,951.25 = 107,490.98/x
  3. Step 3: Cross multiply
    214,232.37x = 320,951.25 × 107,490.98
  4. Step 4: Simplify right side
    214,232.37x = 34,499,362,789.97
  5. Step 5: Solve for x
    x = 34,499,362,789.97/214,232.37
  6. Step 6: Final answer
    x = 161,037.11

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1.5x scale

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.