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Finding the Fourth Proportional to 137,512.34, 206,268.70 and 37,673.40

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Solution

The fourth proportional to 137,512.34, 206,268.70 and 37,673.40 is: 56,510.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,512.34 : 206,268.70 = 37,673.40 : x
  2. Step 2: Convert to fraction form
    137,512.34/206,268.70 = 37,673.40/x
  3. Step 3: Cross multiply
    137,512.34x = 206,268.70 × 37,673.40
  4. Step 4: Simplify right side
    137,512.34x = 7,770,843,242.58
  5. Step 5: Solve for x
    x = 7,770,843,242.58/137,512.34
  6. Step 6: Final answer
    x = 56,510.15

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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.