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Finding the Fourth Proportional to 137,652.46, 206,476.26 and 37,812.26

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Solution

The fourth proportional to 137,652.46, 206,476.26 and 37,812.26 is: 56,717.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,652.46 : 206,476.26 = 37,812.26 : x
  2. Step 2: Convert to fraction form
    137,652.46/206,476.26 = 37,812.26/x
  3. Step 3: Cross multiply
    137,652.46x = 206,476.26 × 37,812.26
  4. Step 4: Simplify right side
    137,652.46x = 7,807,334,026.95
  5. Step 5: Solve for x
    x = 7,807,334,026.95/137,652.46
  6. Step 6: Final answer
    x = 56,717.72

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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.