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Finding the Fourth Proportional to 256,963.78, 385,224.01 and 123,660.66

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Solution

The fourth proportional to 256,963.78, 385,224.01 and 123,660.66 is: 185,384.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,963.78 : 385,224.01 = 123,660.66 : x
  2. Step 2: Convert to fraction form
    256,963.78/385,224.01 = 123,660.66/x
  3. Step 3: Cross multiply
    256,963.78x = 385,224.01 × 123,660.66
  4. Step 4: Simplify right side
    256,963.78x = 47,637,055,324.45
  5. Step 5: Solve for x
    x = 47,637,055,324.45/256,963.78
  6. Step 6: Final answer
    x = 185,384.32

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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.