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Finding the Fourth Proportional to 193,692.96, 290,531.52 and 53,448

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Solution

The fourth proportional to 193,692.96, 290,531.52 and 53,448 is: 80,169.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,692.96 : 290,531.52 = 53,448 : x
  2. Step 2: Convert to fraction form
    193,692.96/290,531.52 = 53,448/x
  3. Step 3: Cross multiply
    193,692.96x = 290,531.52 × 53,448
  4. Step 4: Simplify right side
    193,692.96x = 15,528,328,680.96
  5. Step 5: Solve for x
    x = 15,528,328,680.96/193,692.96
  6. Step 6: Final answer
    x = 80,169.81

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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.