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Finding the Fourth Proportional to 103,042.84, 154,310.80 and 50,282.20

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Solution

The fourth proportional to 103,042.84, 154,310.80 and 50,282.20 is: 75,299.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,042.84 : 154,310.80 = 50,282.20 : x
  2. Step 2: Convert to fraction form
    103,042.84/154,310.80 = 50,282.20/x
  3. Step 3: Cross multiply
    103,042.84x = 154,310.80 × 50,282.20
  4. Step 4: Simplify right side
    103,042.84x = 7,759,086,507.76
  5. Step 5: Solve for x
    x = 7,759,086,507.76/103,042.84
  6. Step 6: Final answer
    x = 75,299.62

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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.