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Finding the Fourth Proportional to 137,588.50, 206,368.92 and 37,758.74

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Solution

The fourth proportional to 137,588.50, 206,368.92 and 37,758.74 is: 56,634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,588.50 : 206,368.92 = 37,758.74 : x
  2. Step 2: Convert to fraction form
    137,588.50/206,368.92 = 37,758.74/x
  3. Step 3: Cross multiply
    137,588.50x = 206,368.92 × 37,758.74
  4. Step 4: Simplify right side
    137,588.50x = 7,792,230,394.36
  5. Step 5: Solve for x
    x = 7,792,230,394.36/137,588.50
  6. Step 6: Final answer
    x = 56,634.32

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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.