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Finding the Fourth Proportional to 100,266.26, 150,354.42 and 59,758.90

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Solution

The fourth proportional to 100,266.26, 150,354.42 and 59,758.90 is: 89,611.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,266.26 : 150,354.42 = 59,758.90 : x
  2. Step 2: Convert to fraction form
    100,266.26/150,354.42 = 59,758.90/x
  3. Step 3: Cross multiply
    100,266.26x = 150,354.42 × 59,758.90
  4. Step 4: Simplify right side
    100,266.26x = 8,985,014,749.34
  5. Step 5: Solve for x
    x = 8,985,014,749.34/100,266.26
  6. Step 6: Final answer
    x = 89,611.55

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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.