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Finding the Fourth Proportional to 147,999.82, 204,235.60 and 80,930.38

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Solution

The fourth proportional to 147,999.82, 204,235.60 and 80,930.38 is: 111,681.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,999.82 : 204,235.60 = 80,930.38 : x
  2. Step 2: Convert to fraction form
    147,999.82/204,235.60 = 80,930.38/x
  3. Step 3: Cross multiply
    147,999.82x = 204,235.60 × 80,930.38
  4. Step 4: Simplify right side
    147,999.82x = 16,528,864,717.53
  5. Step 5: Solve for x
    x = 16,528,864,717.53/147,999.82
  6. Step 6: Final answer
    x = 111,681.65

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Why These Related Problems?

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