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Finding the Fourth Proportional to 256,315.62, 384,254.49 and 181,199.46

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Solution

The fourth proportional to 256,315.62, 384,254.49 and 181,199.46 is: 271,644.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,315.62 : 384,254.49 = 181,199.46 : x
  2. Step 2: Convert to fraction form
    256,315.62/384,254.49 = 181,199.46/x
  3. Step 3: Cross multiply
    256,315.62x = 384,254.49 × 181,199.46
  4. Step 4: Simplify right side
    256,315.62x = 69,626,706,090.58
  5. Step 5: Solve for x
    x = 69,626,706,090.58/256,315.62
  6. Step 6: Final answer
    x = 271,644.41

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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.