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Finding the Fourth Proportional to 194,955.26, 269,039.10 and 105,531.26

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Solution

The fourth proportional to 194,955.26, 269,039.10 and 105,531.26 is: 145,633.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,955.26 : 269,039.10 = 105,531.26 : x
  2. Step 2: Convert to fraction form
    194,955.26/269,039.10 = 105,531.26/x
  3. Step 3: Cross multiply
    194,955.26x = 269,039.10 × 105,531.26
  4. Step 4: Simplify right side
    194,955.26x = 28,392,035,212.27
  5. Step 5: Solve for x
    x = 28,392,035,212.27/194,955.26
  6. Step 6: Final answer
    x = 145,633.59

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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.