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Finding the Fourth Proportional to 256,996.33, 383,932.58 and 166,300.17

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Solution

The fourth proportional to 256,996.33, 383,932.58 and 166,300.17 is: 248,439.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,996.33 : 383,932.58 = 166,300.17 : x
  2. Step 2: Convert to fraction form
    256,996.33/383,932.58 = 166,300.17/x
  3. Step 3: Cross multiply
    256,996.33x = 383,932.58 × 166,300.17
  4. Step 4: Simplify right side
    256,996.33x = 63,848,053,322.54
  5. Step 5: Solve for x
    x = 63,848,053,322.54/256,996.33
  6. Step 6: Final answer
    x = 248,439.55

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1.5x scale

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.