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Finding the Fourth Proportional to 137,642.81, 206,424.55 and 37,806.26

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Solution

The fourth proportional to 137,642.81, 206,424.55 and 37,806.26 is: 56,698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,642.81 : 206,424.55 = 37,806.26 : x
  2. Step 2: Convert to fraction form
    137,642.81/206,424.55 = 37,806.26/x
  3. Step 3: Cross multiply
    137,642.81x = 206,424.55 × 37,806.26
  4. Step 4: Simplify right side
    137,642.81x = 7,804,140,383.96
  5. Step 5: Solve for x
    x = 7,804,140,383.96/137,642.81
  6. Step 6: Final answer
    x = 56,698.50

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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.