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Finding the Fourth Proportional to 238,322, 357,532.24 and 69,847.86

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Solution

The fourth proportional to 238,322, 357,532.24 and 69,847.86 is: 104,786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,322 : 357,532.24 = 69,847.86 : x
  2. Step 2: Convert to fraction form
    238,322/357,532.24 = 69,847.86/x
  3. Step 3: Cross multiply
    238,322x = 357,532.24 × 69,847.86
  4. Step 4: Simplify right side
    238,322x = 24,972,861,845.01
  5. Step 5: Solve for x
    x = 24,972,861,845.01/238,322
  6. Step 6: Final answer
    x = 104,786.22

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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.