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Finding the Fourth Proportional to 83,361.16, 114,956.49 and 76,445.84

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Solution

The fourth proportional to 83,361.16, 114,956.49 and 76,445.84 is: 105,420.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,361.16 : 114,956.49 = 76,445.84 : x
  2. Step 2: Convert to fraction form
    83,361.16/114,956.49 = 76,445.84/x
  3. Step 3: Cross multiply
    83,361.16x = 114,956.49 × 76,445.84
  4. Step 4: Simplify right side
    83,361.16x = 8,787,945,153.39
  5. Step 5: Solve for x
    x = 8,787,945,153.39/83,361.16
  6. Step 6: Final answer
    x = 105,420.14

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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.