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Finding the Fourth Proportional to 195,422.94, 269,683.65 and 105,998.94

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Solution

The fourth proportional to 195,422.94, 269,683.65 and 105,998.94 is: 146,278.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,422.94 : 269,683.65 = 105,998.94 : x
  2. Step 2: Convert to fraction form
    195,422.94/269,683.65 = 105,998.94/x
  3. Step 3: Cross multiply
    195,422.94x = 269,683.65 × 105,998.94
  4. Step 4: Simplify right side
    195,422.94x = 28,586,181,035.33
  5. Step 5: Solve for x
    x = 28,586,181,035.33/195,422.94
  6. Step 6: Final answer
    x = 146,278.53

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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.