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Finding the Fourth Proportional to 299,136.60, 448,704.90 and 109,596.60

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Solution

The fourth proportional to 299,136.60, 448,704.90 and 109,596.60 is: 164,394.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,136.60 : 448,704.90 = 109,596.60 : x
  2. Step 2: Convert to fraction form
    299,136.60/448,704.90 = 109,596.60/x
  3. Step 3: Cross multiply
    299,136.60x = 448,704.90 × 109,596.60
  4. Step 4: Simplify right side
    299,136.60x = 49,176,531,443.34
  5. Step 5: Solve for x
    x = 49,176,531,443.34/299,136.60
  6. Step 6: Final answer
    x = 164,394.90

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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.