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Finding the Fourth Proportional to 137,099.94, 205,566.86 and 89,657.75

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Solution

The fourth proportional to 137,099.94, 205,566.86 and 89,657.75 is: 134,432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,099.94 : 205,566.86 = 89,657.75 : x
  2. Step 2: Convert to fraction form
    137,099.94/205,566.86 = 89,657.75/x
  3. Step 3: Cross multiply
    137,099.94x = 205,566.86 × 89,657.75
  4. Step 4: Simplify right side
    137,099.94x = 18,430,662,880.23
  5. Step 5: Solve for x
    x = 18,430,662,880.23/137,099.94
  6. Step 6: Final answer
    x = 134,432.32

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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.