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Finding the Fourth Proportional to 201,204, 301,346.73 and 96,096.78

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Solution

The fourth proportional to 201,204, 301,346.73 and 96,096.78 is: 143,925.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,204 : 301,346.73 = 96,096.78 : x
  2. Step 2: Convert to fraction form
    201,204/301,346.73 = 96,096.78/x
  3. Step 3: Cross multiply
    201,204x = 301,346.73 × 96,096.78
  4. Step 4: Simplify right side
    201,204x = 28,958,450,416.53
  5. Step 5: Solve for x
    x = 28,958,450,416.53/201,204
  6. Step 6: Final answer
    x = 143,925.82

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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.