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Finding the Fourth Proportional to 240,471.46, 360,768.66 and 140,715.46

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Solution

The fourth proportional to 240,471.46, 360,768.66 and 140,715.46 is: 211,109.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,471.46 : 360,768.66 = 140,715.46 : x
  2. Step 2: Convert to fraction form
    240,471.46/360,768.66 = 140,715.46/x
  3. Step 3: Cross multiply
    240,471.46x = 360,768.66 × 140,715.46
  4. Step 4: Simplify right side
    240,471.46x = 50,765,727,945.48
  5. Step 5: Solve for x
    x = 50,765,727,945.48/240,471.46
  6. Step 6: Final answer
    x = 211,109.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.