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Finding the Fourth Proportional to 256,233.45, 384,514.20 and 149,617.20

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Solution

The fourth proportional to 256,233.45, 384,514.20 and 149,617.20 is: 224,521.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,233.45 : 384,514.20 = 149,617.20 : x
  2. Step 2: Convert to fraction form
    256,233.45/384,514.20 = 149,617.20/x
  3. Step 3: Cross multiply
    256,233.45x = 384,514.20 × 149,617.20
  4. Step 4: Simplify right side
    256,233.45x = 57,529,937,964.24
  5. Step 5: Solve for x
    x = 57,529,937,964.24/256,233.45
  6. Step 6: Final answer
    x = 224,521.58

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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.