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Finding the Fourth Proportional to 137,004.96, 205,490.82 and 37,158.96

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Solution

The fourth proportional to 137,004.96, 205,490.82 and 37,158.96 is: 55,733.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,004.96 : 205,490.82 = 37,158.96 : x
  2. Step 2: Convert to fraction form
    137,004.96/205,490.82 = 37,158.96/x
  3. Step 3: Cross multiply
    137,004.96x = 205,490.82 × 37,158.96
  4. Step 4: Simplify right side
    137,004.96x = 7,635,825,160.75
  5. Step 5: Solve for x
    x = 7,635,825,160.75/137,004.96
  6. Step 6: Final answer
    x = 55,733.93

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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.