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Finding the Fourth Proportional to 231,119.26, 318,976.26 and 133,000.48

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Solution

The fourth proportional to 231,119.26, 318,976.26 and 133,000.48 is: 183,558.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,119.26 : 318,976.26 = 133,000.48 : x
  2. Step 2: Convert to fraction form
    231,119.26/318,976.26 = 133,000.48/x
  3. Step 3: Cross multiply
    231,119.26x = 318,976.26 × 133,000.48
  4. Step 4: Simplify right side
    231,119.26x = 42,423,995,688.60
  5. Step 5: Solve for x
    x = 42,423,995,688.60/231,119.26
  6. Step 6: Final answer
    x = 183,558.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.