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Finding the Fourth Proportional to 137,122.92, 189,232.62 and 96,907.64

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Solution

The fourth proportional to 137,122.92, 189,232.62 and 96,907.64 is: 133,734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,122.92 : 189,232.62 = 96,907.64 : x
  2. Step 2: Convert to fraction form
    137,122.92/189,232.62 = 96,907.64/x
  3. Step 3: Cross multiply
    137,122.92x = 189,232.62 × 96,907.64
  4. Step 4: Simplify right side
    137,122.92x = 18,338,086,615.22
  5. Step 5: Solve for x
    x = 18,338,086,615.22/137,122.92
  6. Step 6: Final answer
    x = 133,734.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.