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Finding the Fourth Proportional to 160,083.50, 240,194.90 and 75,902.63

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Solution

The fourth proportional to 160,083.50, 240,194.90 and 75,902.63 is: 113,886.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,083.50 : 240,194.90 = 75,902.63 : x
  2. Step 2: Convert to fraction form
    160,083.50/240,194.90 = 75,902.63/x
  3. Step 3: Cross multiply
    160,083.50x = 240,194.90 × 75,902.63
  4. Step 4: Simplify right side
    160,083.50x = 18,231,423,611.37
  5. Step 5: Solve for x
    x = 18,231,423,611.37/160,083.50
  6. Step 6: Final answer
    x = 113,886.97

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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.