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Finding the Fourth Proportional to 306,611.22, 459,990.88 and 96,249.16

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Solution

The fourth proportional to 306,611.22, 459,990.88 and 96,249.16 is: 144,396.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,611.22 : 459,990.88 = 96,249.16 : x
  2. Step 2: Convert to fraction form
    306,611.22/459,990.88 = 96,249.16/x
  3. Step 3: Cross multiply
    306,611.22x = 459,990.88 × 96,249.16
  4. Step 4: Simplify right side
    306,611.22x = 44,273,735,807.66
  5. Step 5: Solve for x
    x = 44,273,735,807.66/306,611.22
  6. Step 6: Final answer
    x = 144,396.99

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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.