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Finding the Fourth Proportional to 232,125.42, 320,472.88 and 151,687.56

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Solution

The fourth proportional to 232,125.42, 320,472.88 and 151,687.56 is: 209,420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,125.42 : 320,472.88 = 151,687.56 : x
  2. Step 2: Convert to fraction form
    232,125.42/320,472.88 = 151,687.56/x
  3. Step 3: Cross multiply
    232,125.42x = 320,472.88 × 151,687.56
  4. Step 4: Simplify right side
    232,125.42x = 48,611,749,213.37
  5. Step 5: Solve for x
    x = 48,611,749,213.37/232,125.42
  6. Step 6: Final answer
    x = 209,420.19

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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.