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Finding the Fourth Proportional to 201,823.20, 302,151.60 and 123,091.20

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Solution

The fourth proportional to 201,823.20, 302,151.60 and 123,091.20 is: 184,281.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,823.20 : 302,151.60 = 123,091.20 : x
  2. Step 2: Convert to fraction form
    201,823.20/302,151.60 = 123,091.20/x
  3. Step 3: Cross multiply
    201,823.20x = 302,151.60 × 123,091.20
  4. Step 4: Simplify right side
    201,823.20x = 37,192,203,025.92
  5. Step 5: Solve for x
    x = 37,192,203,025.92/201,823.20
  6. Step 6: Final answer
    x = 184,281.11

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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.