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Finding the Fourth Proportional to 106,096.50, 146,413.17 and 58,352.94

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Solution

The fourth proportional to 106,096.50, 146,413.17 and 58,352.94 is: 80,527.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,096.50 : 146,413.17 = 58,352.94 : x
  2. Step 2: Convert to fraction form
    106,096.50/146,413.17 = 58,352.94/x
  3. Step 3: Cross multiply
    106,096.50x = 146,413.17 × 58,352.94
  4. Step 4: Simplify right side
    106,096.50x = 8,543,638,924.22
  5. Step 5: Solve for x
    x = 8,543,638,924.22/106,096.50
  6. Step 6: Final answer
    x = 80,527.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.