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Finding the Fourth Proportional to 256,638.26, 354,163.09 and 141,924.62

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Solution

The fourth proportional to 256,638.26, 354,163.09 and 141,924.62 is: 195,857.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,638.26 : 354,163.09 = 141,924.62 : x
  2. Step 2: Convert to fraction form
    256,638.26/354,163.09 = 141,924.62/x
  3. Step 3: Cross multiply
    256,638.26x = 354,163.09 × 141,924.62
  4. Step 4: Simplify right side
    256,638.26x = 50,264,461,966.28
  5. Step 5: Solve for x
    x = 50,264,461,966.28/256,638.26
  6. Step 6: Final answer
    x = 195,857.24

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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.