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Finding the Fourth Proportional to 256,251.82, 384,159.03 and 181,135.66

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Solution

The fourth proportional to 256,251.82, 384,159.03 and 181,135.66 is: 271,548.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,251.82 : 384,159.03 = 181,135.66 : x
  2. Step 2: Convert to fraction form
    256,251.82/384,159.03 = 181,135.66/x
  3. Step 3: Cross multiply
    256,251.82x = 384,159.03 × 181,135.66
  4. Step 4: Simplify right side
    256,251.82x = 69,584,899,444.01
  5. Step 5: Solve for x
    x = 69,584,899,444.01/256,251.82
  6. Step 6: Final answer
    x = 271,548.90

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1.5x scale

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.