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Finding the Fourth Proportional to 102,754.26, 154,218.87 and 40,468.50

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Solution

The fourth proportional to 102,754.26, 154,218.87 and 40,468.50 is: 60,737.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,754.26 : 154,218.87 = 40,468.50 : x
  2. Step 2: Convert to fraction form
    102,754.26/154,218.87 = 40,468.50/x
  3. Step 3: Cross multiply
    102,754.26x = 154,218.87 × 40,468.50
  4. Step 4: Simplify right side
    102,754.26x = 6,241,006,340.60
  5. Step 5: Solve for x
    x = 6,241,006,340.60/102,754.26
  6. Step 6: Final answer
    x = 60,737.20

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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.