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Finding the Fourth Proportional to 256,155.84, 383,922.48 and 181,297.76

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Solution

The fourth proportional to 256,155.84, 383,922.48 and 181,297.76 is: 271,726.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,155.84 : 383,922.48 = 181,297.76 : x
  2. Step 2: Convert to fraction form
    256,155.84/383,922.48 = 181,297.76/x
  3. Step 3: Cross multiply
    256,155.84x = 383,922.48 × 181,297.76
  4. Step 4: Simplify right side
    256,155.84x = 69,604,285,637.64
  5. Step 5: Solve for x
    x = 69,604,285,637.64/256,155.84
  6. Step 6: Final answer
    x = 271,726.33

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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.