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Finding the Fourth Proportional to 96,806, 145,072.80 and 76,996.64

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Solution

The fourth proportional to 96,806, 145,072.80 and 76,996.64 is: 115,386.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,806 : 145,072.80 = 76,996.64 : x
  2. Step 2: Convert to fraction form
    96,806/145,072.80 = 76,996.64/x
  3. Step 3: Cross multiply
    96,806x = 145,072.80 × 76,996.64
  4. Step 4: Simplify right side
    96,806x = 11,170,118,155.39
  5. Step 5: Solve for x
    x = 11,170,118,155.39/96,806
  6. Step 6: Final answer
    x = 115,386.63

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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.