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Finding the Fourth Proportional to 201,206, 301,349.73 and 96,098.78

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Solution

The fourth proportional to 201,206, 301,349.73 and 96,098.78 is: 143,928.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,206 : 301,349.73 = 96,098.78 : x
  2. Step 2: Convert to fraction form
    201,206/301,349.73 = 96,098.78/x
  3. Step 3: Cross multiply
    201,206x = 301,349.73 × 96,098.78
  4. Step 4: Simplify right side
    201,206x = 28,959,341,406.33
  5. Step 5: Solve for x
    x = 28,959,341,406.33/201,206
  6. Step 6: Final answer
    x = 143,928.82

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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.