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Finding the Fourth Proportional to 225,534.54, 311,237.65 and 123,563.62

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Solution

The fourth proportional to 225,534.54, 311,237.65 and 123,563.62 is: 170,517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,534.54 : 311,237.65 = 123,563.62 : x
  2. Step 2: Convert to fraction form
    225,534.54/311,237.65 = 123,563.62/x
  3. Step 3: Cross multiply
    225,534.54x = 311,237.65 × 123,563.62
  4. Step 4: Simplify right side
    225,534.54x = 38,457,649,627.29
  5. Step 5: Solve for x
    x = 38,457,649,627.29/225,534.54
  6. Step 6: Final answer
    x = 170,517.78

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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.