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Finding the Fourth Proportional to 137,649.51, 206,454.83 and 44,143.11

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Solution

The fourth proportional to 137,649.51, 206,454.83 and 44,143.11 is: 66,208.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,649.51 : 206,454.83 = 44,143.11 : x
  2. Step 2: Convert to fraction form
    137,649.51/206,454.83 = 44,143.11/x
  3. Step 3: Cross multiply
    137,649.51x = 206,454.83 × 44,143.11
  4. Step 4: Simplify right side
    137,649.51x = 9,113,558,050.01
  5. Step 5: Solve for x
    x = 9,113,558,050.01/137,649.51
  6. Step 6: Final answer
    x = 66,208.43

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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.