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Finding the Fourth Proportional to 109,589.70, 164,436.54 and 75,907.50

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Solution

The fourth proportional to 109,589.70, 164,436.54 and 75,907.50 is: 113,897.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,589.70 : 164,436.54 = 75,907.50 : x
  2. Step 2: Convert to fraction form
    109,589.70/164,436.54 = 75,907.50/x
  3. Step 3: Cross multiply
    109,589.70x = 164,436.54 × 75,907.50
  4. Step 4: Simplify right side
    109,589.70x = 12,481,967,679.92
  5. Step 5: Solve for x
    x = 12,481,967,679.92/109,589.70
  6. Step 6: Final answer
    x = 113,897.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.