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Finding the Fourth Proportional to 256,866.21, 383,724.23 and 185,177.03

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Solution

The fourth proportional to 256,866.21, 383,724.23 and 185,177.03 is: 276,630.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,866.21 : 383,724.23 = 185,177.03 : x
  2. Step 2: Convert to fraction form
    256,866.21/383,724.23 = 185,177.03/x
  3. Step 3: Cross multiply
    256,866.21x = 383,724.23 × 185,177.03
  4. Step 4: Simplify right side
    256,866.21x = 71,056,914,672.69
  5. Step 5: Solve for x
    x = 71,056,914,672.69/256,866.21
  6. Step 6: Final answer
    x = 276,630.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.