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Finding the Fourth Proportional to 256,243.96, 353,619.30 and 141,525.47

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Solution

The fourth proportional to 256,243.96, 353,619.30 and 141,525.47 is: 195,306.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,243.96 : 353,619.30 = 141,525.47 : x
  2. Step 2: Convert to fraction form
    256,243.96/353,619.30 = 141,525.47/x
  3. Step 3: Cross multiply
    256,243.96x = 353,619.30 × 141,525.47
  4. Step 4: Simplify right side
    256,243.96x = 50,046,137,633.57
  5. Step 5: Solve for x
    x = 50,046,137,633.57/256,243.96
  6. Step 6: Final answer
    x = 195,306.60

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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.