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Finding the Fourth Proportional to 148,851, 205,414.38 and 81,783

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Solution

The fourth proportional to 148,851, 205,414.38 and 81,783 is: 112,860.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,851 : 205,414.38 = 81,783 : x
  2. Step 2: Convert to fraction form
    148,851/205,414.38 = 81,783/x
  3. Step 3: Cross multiply
    148,851x = 205,414.38 × 81,783
  4. Step 4: Simplify right side
    148,851x = 16,799,404,239.54
  5. Step 5: Solve for x
    x = 16,799,404,239.54/148,851
  6. Step 6: Final answer
    x = 112,860.54

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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.