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Finding the Fourth Proportional to 201,221.93, 301,552.52 and 151,243.71

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Solution

The fourth proportional to 201,221.93, 301,552.52 and 151,243.71 is: 226,654.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,221.93 : 301,552.52 = 151,243.71 : x
  2. Step 2: Convert to fraction form
    201,221.93/301,552.52 = 151,243.71/x
  3. Step 3: Cross multiply
    201,221.93x = 301,552.52 × 151,243.71
  4. Step 4: Simplify right side
    201,221.93x = 45,607,921,128.43
  5. Step 5: Solve for x
    x = 45,607,921,128.43/201,221.93
  6. Step 6: Final answer
    x = 226,654.83

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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.