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Finding the Fourth Proportional to 256,238.34, 383,471.77 and 160,141.56

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Solution

The fourth proportional to 256,238.34, 383,471.77 and 160,141.56 is: 239,658.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,238.34 : 383,471.77 = 160,141.56 : x
  2. Step 2: Convert to fraction form
    256,238.34/383,471.77 = 160,141.56/x
  3. Step 3: Cross multiply
    256,238.34x = 383,471.77 × 160,141.56
  4. Step 4: Simplify right side
    256,238.34x = 61,409,767,463.76
  5. Step 5: Solve for x
    x = 61,409,767,463.76/256,238.34
  6. Step 6: Final answer
    x = 239,658.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.