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Finding the Fourth Proportional to 190,638, 285,957 and 50,396.63

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Solution

The fourth proportional to 190,638, 285,957 and 50,396.63 is: 75,594.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,638 : 285,957 = 50,396.63 : x
  2. Step 2: Convert to fraction form
    190,638/285,957 = 50,396.63/x
  3. Step 3: Cross multiply
    190,638x = 285,957 × 50,396.63
  4. Step 4: Simplify right side
    190,638x = 14,411,267,695.13
  5. Step 5: Solve for x
    x = 14,411,267,695.13/190,638
  6. Step 6: Final answer
    x = 75,594.94

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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.