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Finding the Fourth Proportional to 137,039, 205,584.96 and 48,295.40

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Solution

The fourth proportional to 137,039, 205,584.96 and 48,295.40 is: 72,452.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,039 : 205,584.96 = 48,295.40 : x
  2. Step 2: Convert to fraction form
    137,039/205,584.96 = 48,295.40/x
  3. Step 3: Cross multiply
    137,039x = 205,584.96 × 48,295.40
  4. Step 4: Simplify right side
    137,039x = 9,928,807,877.18
  5. Step 5: Solve for x
    x = 9,928,807,877.18/137,039
  6. Step 6: Final answer
    x = 72,452.43

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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.