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Finding the Fourth Proportional to 195,165.75, 269,328.75 and 105,741.75

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Solution

The fourth proportional to 195,165.75, 269,328.75 and 105,741.75 is: 145,923.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,165.75 : 269,328.75 = 105,741.75 : x
  2. Step 2: Convert to fraction form
    195,165.75/269,328.75 = 105,741.75/x
  3. Step 3: Cross multiply
    195,165.75x = 269,328.75 × 105,741.75
  4. Step 4: Simplify right side
    195,165.75x = 28,479,293,350.31
  5. Step 5: Solve for x
    x = 28,479,293,350.31/195,165.75
  6. Step 6: Final answer
    x = 145,923.62

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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.