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Finding the Fourth Proportional to 423,172.20, 634,755.42 and 107,625

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Solution

The fourth proportional to 423,172.20, 634,755.42 and 107,625 is: 161,436.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,172.20 : 634,755.42 = 107,625 : x
  2. Step 2: Convert to fraction form
    423,172.20/634,755.42 = 107,625/x
  3. Step 3: Cross multiply
    423,172.20x = 634,755.42 × 107,625
  4. Step 4: Simplify right side
    423,172.20x = 68,315,552,077.50
  5. Step 5: Solve for x
    x = 68,315,552,077.50/423,172.20
  6. Step 6: Final answer
    x = 161,436.77

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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.