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Finding the Fourth Proportional to 133,830.73, 200,732.43 and 45,085.01

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Solution

The fourth proportional to 133,830.73, 200,732.43 and 45,085.01 is: 67,622.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,830.73 : 200,732.43 = 45,085.01 : x
  2. Step 2: Convert to fraction form
    133,830.73/200,732.43 = 45,085.01/x
  3. Step 3: Cross multiply
    133,830.73x = 200,732.43 × 45,085.01
  4. Step 4: Simplify right side
    133,830.73x = 9,050,022,525.68
  5. Step 5: Solve for x
    x = 9,050,022,525.68/133,830.73
  6. Step 6: Final answer
    x = 67,622.90

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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.