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Finding the Fourth Proportional to 201,833.04, 302,644.46 and 75,369.30

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Solution

The fourth proportional to 201,833.04, 302,644.46 and 75,369.30 is: 113,014.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,833.04 : 302,644.46 = 75,369.30 : x
  2. Step 2: Convert to fraction form
    201,833.04/302,644.46 = 75,369.30/x
  3. Step 3: Cross multiply
    201,833.04x = 302,644.46 × 75,369.30
  4. Step 4: Simplify right side
    201,833.04x = 22,810,099,209.01
  5. Step 5: Solve for x
    x = 22,810,099,209.01/201,833.04
  6. Step 6: Final answer
    x = 113,014.70

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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.