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Finding the Fourth Proportional to 137,117.44, 205,672.32 and 43,628.80

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Solution

The fourth proportional to 137,117.44, 205,672.32 and 43,628.80 is: 65,441.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,117.44 : 205,672.32 = 43,628.80 : x
  2. Step 2: Convert to fraction form
    137,117.44/205,672.32 = 43,628.80/x
  3. Step 3: Cross multiply
    137,117.44x = 205,672.32 × 43,628.80
  4. Step 4: Simplify right side
    137,117.44x = 8,973,236,514.82
  5. Step 5: Solve for x
    x = 8,973,236,514.82/137,117.44
  6. Step 6: Final answer
    x = 65,441.98

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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.