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Finding the Fourth Proportional to 256,124.42, 353,497.97 and 152,765.24

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Solution

The fourth proportional to 256,124.42, 353,497.97 and 152,765.24 is: 210,843.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,124.42 : 353,497.97 = 152,765.24 : x
  2. Step 2: Convert to fraction form
    256,124.42/353,497.97 = 152,765.24/x
  3. Step 3: Cross multiply
    256,124.42x = 353,497.97 × 152,765.24
  4. Step 4: Simplify right side
    256,124.42x = 54,002,202,226.56
  5. Step 5: Solve for x
    x = 54,002,202,226.56/256,124.42
  6. Step 6: Final answer
    x = 210,843.63

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