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Finding the Fourth Proportional to 201,232.30, 302,042.85 and 122,500.30

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Solution

The fourth proportional to 201,232.30, 302,042.85 and 122,500.30 is: 183,868.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,232.30 : 302,042.85 = 122,500.30 : x
  2. Step 2: Convert to fraction form
    201,232.30/302,042.85 = 122,500.30/x
  3. Step 3: Cross multiply
    201,232.30x = 302,042.85 × 122,500.30
  4. Step 4: Simplify right side
    201,232.30x = 37,000,339,737.86
  5. Step 5: Solve for x
    x = 37,000,339,737.86/201,232.30
  6. Step 6: Final answer
    x = 183,868.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.