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Finding the Fourth Proportional to 149,205.44, 205,902.24 and 82,136

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Solution

The fourth proportional to 149,205.44, 205,902.24 and 82,136 is: 113,346.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,205.44 : 205,902.24 = 82,136 : x
  2. Step 2: Convert to fraction form
    149,205.44/205,902.24 = 82,136/x
  3. Step 3: Cross multiply
    149,205.44x = 205,902.24 × 82,136
  4. Step 4: Simplify right side
    149,205.44x = 16,911,986,384.64
  5. Step 5: Solve for x
    x = 16,911,986,384.64/149,205.44
  6. Step 6: Final answer
    x = 113,346.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.