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Finding the Fourth Proportional to 100,838.34, 151,282.44 and 41,690.88

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Solution

The fourth proportional to 100,838.34, 151,282.44 and 41,690.88 is: 62,546.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,838.34 : 151,282.44 = 41,690.88 : x
  2. Step 2: Convert to fraction form
    100,838.34/151,282.44 = 41,690.88/x
  3. Step 3: Cross multiply
    100,838.34x = 151,282.44 × 41,690.88
  4. Step 4: Simplify right side
    100,838.34x = 6,307,098,052.15
  5. Step 5: Solve for x
    x = 6,307,098,052.15/100,838.34
  6. Step 6: Final answer
    x = 62,546.63

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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.