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Finding the Fourth Proportional to 256,065.78, 353,370.80 and 141,344.46

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Solution

The fourth proportional to 256,065.78, 353,370.80 and 141,344.46 is: 195,055.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,065.78 : 353,370.80 = 141,344.46 : x
  2. Step 2: Convert to fraction form
    256,065.78/353,370.80 = 141,344.46/x
  3. Step 3: Cross multiply
    256,065.78x = 353,370.80 × 141,344.46
  4. Step 4: Simplify right side
    256,065.78x = 49,947,004,729.09
  5. Step 5: Solve for x
    x = 49,947,004,729.09/256,065.78
  6. Step 6: Final answer
    x = 195,055.36

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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.