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Finding the Fourth Proportional to 101,516.44, 152,274.18 and 67,711

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Solution

The fourth proportional to 101,516.44, 152,274.18 and 67,711 is: 101,566.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,516.44 : 152,274.18 = 67,711 : x
  2. Step 2: Convert to fraction form
    101,516.44/152,274.18 = 67,711/x
  3. Step 3: Cross multiply
    101,516.44x = 152,274.18 × 67,711
  4. Step 4: Simplify right side
    101,516.44x = 10,310,637,001.98
  5. Step 5: Solve for x
    x = 10,310,637,001.98/101,516.44
  6. Step 6: Final answer
    x = 101,566.18

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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.