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Finding the Fourth Proportional to 137,147.58, 205,735.95 and 37,309.41

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Solution

The fourth proportional to 137,147.58, 205,735.95 and 37,309.41 is: 55,968.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,147.58 : 205,735.95 = 37,309.41 : x
  2. Step 2: Convert to fraction form
    137,147.58/205,735.95 = 37,309.41/x
  3. Step 3: Cross multiply
    137,147.58x = 205,735.95 × 37,309.41
  4. Step 4: Simplify right side
    137,147.58x = 7,675,886,910.29
  5. Step 5: Solve for x
    x = 7,675,886,910.29/137,147.58
  6. Step 6: Final answer
    x = 55,968.08

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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.