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Finding the Fourth Proportional to 200,873.22, 301,497.75 and 106,173.69

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Solution

The fourth proportional to 200,873.22, 301,497.75 and 106,173.69 is: 159,359.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,873.22 : 301,497.75 = 106,173.69 : x
  2. Step 2: Convert to fraction form
    200,873.22/301,497.75 = 106,173.69/x
  3. Step 3: Cross multiply
    200,873.22x = 301,497.75 × 106,173.69
  4. Step 4: Simplify right side
    200,873.22x = 32,011,128,644.20
  5. Step 5: Solve for x
    x = 32,011,128,644.20/200,873.22
  6. Step 6: Final answer
    x = 159,359.86

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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.