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Finding the Fourth Proportional to 193,232.40, 289,848.60 and 137,245.20

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Solution

The fourth proportional to 193,232.40, 289,848.60 and 137,245.20 is: 205,867.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,232.40 : 289,848.60 = 137,245.20 : x
  2. Step 2: Convert to fraction form
    193,232.40/289,848.60 = 137,245.20/x
  3. Step 3: Cross multiply
    193,232.40x = 289,848.60 × 137,245.20
  4. Step 4: Simplify right side
    193,232.40x = 39,780,329,076.72
  5. Step 5: Solve for x
    x = 39,780,329,076.72/193,232.40
  6. Step 6: Final answer
    x = 205,867.80

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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.