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Finding the Fourth Proportional to 132,616, 198,924 and 45,064

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Solution

The fourth proportional to 132,616, 198,924 and 45,064 is: 67,596

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,616 : 198,924 = 45,064 : x
  2. Step 2: Convert to fraction form
    132,616/198,924 = 45,064/x
  3. Step 3: Cross multiply
    132,616x = 198,924 × 45,064
  4. Step 4: Simplify right side
    132,616x = 8,964,311,136
  5. Step 5: Solve for x
    x = 8,964,311,136/132,616
  6. Step 6: Final answer
    x = 67,596

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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.