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Finding the Fourth Proportional to 137,685.90, 206,505 and 37,822.32

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Solution

The fourth proportional to 137,685.90, 206,505 and 37,822.32 is: 56,726.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,685.90 : 206,505 = 37,822.32 : x
  2. Step 2: Convert to fraction form
    137,685.90/206,505 = 37,822.32/x
  3. Step 3: Cross multiply
    137,685.90x = 206,505 × 37,822.32
  4. Step 4: Simplify right side
    137,685.90x = 7,810,498,191.60
  5. Step 5: Solve for x
    x = 7,810,498,191.60/137,685.90
  6. Step 6: Final answer
    x = 56,726.93

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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.