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Finding the Fourth Proportional to 256,482.75, 353,935.20 and 141,755.47

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Solution

The fourth proportional to 256,482.75, 353,935.20 and 141,755.47 is: 195,616.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,482.75 : 353,935.20 = 141,755.47 : x
  2. Step 2: Convert to fraction form
    256,482.75/353,935.20 = 141,755.47/x
  3. Step 3: Cross multiply
    256,482.75x = 353,935.20 × 141,755.47
  4. Step 4: Simplify right side
    256,482.75x = 50,172,250,625.54
  5. Step 5: Solve for x
    x = 50,172,250,625.54/256,482.75
  6. Step 6: Final answer
    x = 195,616.47

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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.