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Finding the Fourth Proportional to 132,219, 198,328.50 and 33,723

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Solution

The fourth proportional to 132,219, 198,328.50 and 33,723 is: 50,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,219 : 198,328.50 = 33,723 : x
  2. Step 2: Convert to fraction form
    132,219/198,328.50 = 33,723/x
  3. Step 3: Cross multiply
    132,219x = 198,328.50 × 33,723
  4. Step 4: Simplify right side
    132,219x = 6,688,232,005.50
  5. Step 5: Solve for x
    x = 6,688,232,005.50/132,219
  6. Step 6: Final answer
    x = 50,584.50

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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.