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Finding the Fourth Proportional to 133,871.24, 200,621.10 and 74,618.12

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Solution

The fourth proportional to 133,871.24, 200,621.10 and 74,618.12 is: 111,823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,871.24 : 200,621.10 = 74,618.12 : x
  2. Step 2: Convert to fraction form
    133,871.24/200,621.10 = 74,618.12/x
  3. Step 3: Cross multiply
    133,871.24x = 200,621.10 × 74,618.12
  4. Step 4: Simplify right side
    133,871.24x = 14,969,969,314.33
  5. Step 5: Solve for x
    x = 14,969,969,314.33/133,871.24
  6. Step 6: Final answer
    x = 111,823.64

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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.