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Finding the Fourth Proportional to 301,284.43, 451,611.27 and 101,535.80

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Solution

The fourth proportional to 301,284.43, 451,611.27 and 101,535.80 is: 152,197.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,284.43 : 451,611.27 = 101,535.80 : x
  2. Step 2: Convert to fraction form
    301,284.43/451,611.27 = 101,535.80/x
  3. Step 3: Cross multiply
    301,284.43x = 451,611.27 × 101,535.80
  4. Step 4: Simplify right side
    301,284.43x = 45,854,709,330.41
  5. Step 5: Solve for x
    x = 45,854,709,330.41/301,284.43
  6. Step 6: Final answer
    x = 152,197.41

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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.