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Finding the Fourth Proportional to 148,954.76, 205,766.44 and 135,502.28

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Solution

The fourth proportional to 148,954.76, 205,766.44 and 135,502.28 is: 187,183.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,954.76 : 205,766.44 = 135,502.28 : x
  2. Step 2: Convert to fraction form
    148,954.76/205,766.44 = 135,502.28/x
  3. Step 3: Cross multiply
    148,954.76x = 205,766.44 × 135,502.28
  4. Step 4: Simplify right side
    148,954.76x = 27,881,821,767.48
  5. Step 5: Solve for x
    x = 27,881,821,767.48/148,954.76
  6. Step 6: Final answer
    x = 187,183.15

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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.