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Finding the Fourth Proportional to 148,636.80, 205,289.16 and 97,876.44

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Solution

The fourth proportional to 148,636.80, 205,289.16 and 97,876.44 is: 135,181.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,636.80 : 205,289.16 = 97,876.44 : x
  2. Step 2: Convert to fraction form
    148,636.80/205,289.16 = 97,876.44/x
  3. Step 3: Cross multiply
    148,636.80x = 205,289.16 × 97,876.44
  4. Step 4: Simplify right side
    148,636.80x = 20,092,972,151.39
  5. Step 5: Solve for x
    x = 20,092,972,151.39/148,636.80
  6. Step 6: Final answer
    x = 135,181.68

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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.