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Finding the Fourth Proportional to 201,189.30, 301,783.89 and 51,429.90

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Solution

The fourth proportional to 201,189.30, 301,783.89 and 51,429.90 is: 77,144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,189.30 : 301,783.89 = 51,429.90 : x
  2. Step 2: Convert to fraction form
    201,189.30/301,783.89 = 51,429.90/x
  3. Step 3: Cross multiply
    201,189.30x = 301,783.89 × 51,429.90
  4. Step 4: Simplify right side
    201,189.30x = 15,520,715,284.31
  5. Step 5: Solve for x
    x = 15,520,715,284.31/201,189.30
  6. Step 6: Final answer
    x = 77,144.83

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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.