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Finding the Fourth Proportional to 110,834, 166,280.37 and 39,763.63

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Solution

The fourth proportional to 110,834, 166,280.37 and 39,763.63 is: 59,655.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,834 : 166,280.37 = 39,763.63 : x
  2. Step 2: Convert to fraction form
    110,834/166,280.37 = 39,763.63/x
  3. Step 3: Cross multiply
    110,834x = 166,280.37 × 39,763.63
  4. Step 4: Simplify right side
    110,834x = 6,611,911,108.94
  5. Step 5: Solve for x
    x = 6,611,911,108.94/110,834
  6. Step 6: Final answer
    x = 59,655.98

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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.