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Finding the Fourth Proportional to 105,774.54, 158,817.33 and 43,566.54

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Solution

The fourth proportional to 105,774.54, 158,817.33 and 43,566.54 is: 65,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,774.54 : 158,817.33 = 43,566.54 : x
  2. Step 2: Convert to fraction form
    105,774.54/158,817.33 = 43,566.54/x
  3. Step 3: Cross multiply
    105,774.54x = 158,817.33 × 43,566.54
  4. Step 4: Simplify right side
    105,774.54x = 6,919,121,560.14
  5. Step 5: Solve for x
    x = 6,919,121,560.14/105,774.54
  6. Step 6: Final answer
    x = 65,413.87

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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.