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Finding the Fourth Proportional to 256,151.15, 353,494.15 and 141,429.41

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Solution

The fourth proportional to 256,151.15, 353,494.15 and 141,429.41 is: 195,175.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,151.15 : 353,494.15 = 141,429.41 : x
  2. Step 2: Convert to fraction form
    256,151.15/353,494.15 = 141,429.41/x
  3. Step 3: Cross multiply
    256,151.15x = 353,494.15 × 141,429.41
  4. Step 4: Simplify right side
    256,151.15x = 49,994,469,072.95
  5. Step 5: Solve for x
    x = 49,994,469,072.95/256,151.15
  6. Step 6: Final answer
    x = 195,175.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.