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Finding the Fourth Proportional to 114,159.74, 157,546.49 and 65,769.12

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Solution

The fourth proportional to 114,159.74, 157,546.49 and 65,769.12 is: 90,764.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,159.74 : 157,546.49 = 65,769.12 : x
  2. Step 2: Convert to fraction form
    114,159.74/157,546.49 = 65,769.12/x
  3. Step 3: Cross multiply
    114,159.74x = 157,546.49 × 65,769.12
  4. Step 4: Simplify right side
    114,159.74x = 10,361,693,677.54
  5. Step 5: Solve for x
    x = 10,361,693,677.54/114,159.74
  6. Step 6: Final answer
    x = 90,764.87

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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.