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Finding the Fourth Proportional to 137,513.40, 206,274.96 and 44,007

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Solution

The fourth proportional to 137,513.40, 206,274.96 and 44,007 is: 66,012.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,513.40 : 206,274.96 = 44,007 : x
  2. Step 2: Convert to fraction form
    137,513.40/206,274.96 = 44,007/x
  3. Step 3: Cross multiply
    137,513.40x = 206,274.96 × 44,007
  4. Step 4: Simplify right side
    137,513.40x = 9,077,542,164.72
  5. Step 5: Solve for x
    x = 9,077,542,164.72/137,513.40
  6. Step 6: Final answer
    x = 66,012.06

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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.