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Finding the Fourth Proportional to 137,548.56, 206,322.84 and 90,790.50

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Solution

The fourth proportional to 137,548.56, 206,322.84 and 90,790.50 is: 136,185.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,548.56 : 206,322.84 = 90,790.50 : x
  2. Step 2: Convert to fraction form
    137,548.56/206,322.84 = 90,790.50/x
  3. Step 3: Cross multiply
    137,548.56x = 206,322.84 × 90,790.50
  4. Step 4: Simplify right side
    137,548.56x = 18,732,152,773.41
  5. Step 5: Solve for x
    x = 18,732,152,773.41/137,548.56
  6. Step 6: Final answer
    x = 136,185.75

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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.