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Finding the Fourth Proportional to 135,342, 203,012.07 and 105,784.70

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Solution

The fourth proportional to 135,342, 203,012.07 and 105,784.70 is: 158,676.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,342 : 203,012.07 = 105,784.70 : x
  2. Step 2: Convert to fraction form
    135,342/203,012.07 = 105,784.70/x
  3. Step 3: Cross multiply
    135,342x = 203,012.07 × 105,784.70
  4. Step 4: Simplify right side
    135,342x = 21,475,569,906.27
  5. Step 5: Solve for x
    x = 21,475,569,906.27/135,342
  6. Step 6: Final answer
    x = 158,676.32

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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.