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Finding the Fourth Proportional to 298,461.26, 447,773.70 and 88,099.14

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Solution

The fourth proportional to 298,461.26, 447,773.70 and 88,099.14 is: 132,172.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,461.26 : 447,773.70 = 88,099.14 : x
  2. Step 2: Convert to fraction form
    298,461.26/447,773.70 = 88,099.14/x
  3. Step 3: Cross multiply
    298,461.26x = 447,773.70 × 88,099.14
  4. Step 4: Simplify right side
    298,461.26x = 39,448,477,884.62
  5. Step 5: Solve for x
    x = 39,448,477,884.62/298,461.26
  6. Step 6: Final answer
    x = 132,172.86

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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.