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Finding the Fourth Proportional to 102,947.02, 140,769.65 and 102,947.02

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Solution

The fourth proportional to 102,947.02, 140,769.65 and 102,947.02 is: 140,769.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,947.02 : 140,769.65 = 102,947.02 : x
  2. Step 2: Convert to fraction form
    102,947.02/140,769.65 = 102,947.02/x
  3. Step 3: Cross multiply
    102,947.02x = 140,769.65 × 102,947.02
  4. Step 4: Simplify right side
    102,947.02x = 14,491,815,973.94
  5. Step 5: Solve for x
    x = 14,491,815,973.94/102,947.02
  6. Step 6: Final answer
    x = 140,769.65

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.