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Finding the Fourth Proportional to 137,508.50, 206,262.93 and 37,669.57

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Solution

The fourth proportional to 137,508.50, 206,262.93 and 37,669.57 is: 56,504.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,508.50 : 206,262.93 = 37,669.57 : x
  2. Step 2: Convert to fraction form
    137,508.50/206,262.93 = 37,669.57/x
  3. Step 3: Cross multiply
    137,508.50x = 206,262.93 × 37,669.57
  4. Step 4: Simplify right side
    137,508.50x = 7,769,835,880.04
  5. Step 5: Solve for x
    x = 7,769,835,880.04/137,508.50
  6. Step 6: Final answer
    x = 56,504.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.