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Finding the Fourth Proportional to 324,706.14, 487,059.16 and 100,066.56

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Solution

The fourth proportional to 324,706.14, 487,059.16 and 100,066.56 is: 150,099.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,706.14 : 487,059.16 = 100,066.56 : x
  2. Step 2: Convert to fraction form
    324,706.14/487,059.16 = 100,066.56/x
  3. Step 3: Cross multiply
    324,706.14x = 487,059.16 × 100,066.56
  4. Step 4: Simplify right side
    324,706.14x = 48,738,334,657.69
  5. Step 5: Solve for x
    x = 48,738,334,657.69/324,706.14
  6. Step 6: Final answer
    x = 150,099.82

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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.