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Finding the Fourth Proportional to 103,283.74, 154,933.12 and 43,251.84

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Solution

The fourth proportional to 103,283.74, 154,933.12 and 43,251.84 is: 64,880.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,283.74 : 154,933.12 = 43,251.84 : x
  2. Step 2: Convert to fraction form
    103,283.74/154,933.12 = 43,251.84/x
  3. Step 3: Cross multiply
    103,283.74x = 154,933.12 × 43,251.84
  4. Step 4: Simplify right side
    103,283.74x = 6,701,142,571.01
  5. Step 5: Solve for x
    x = 6,701,142,571.01/103,283.74
  6. Step 6: Final answer
    x = 64,880.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.