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Finding the Fourth Proportional to 106,014.68, 146,303.05 and 58,269.30

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Solution

The fourth proportional to 106,014.68, 146,303.05 and 58,269.30 is: 80,413.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,014.68 : 146,303.05 = 58,269.30 : x
  2. Step 2: Convert to fraction form
    106,014.68/146,303.05 = 58,269.30/x
  3. Step 3: Cross multiply
    106,014.68x = 146,303.05 × 58,269.30
  4. Step 4: Simplify right side
    106,014.68x = 8,524,976,311.37
  5. Step 5: Solve for x
    x = 8,524,976,311.37/106,014.68
  6. Step 6: Final answer
    x = 80,413.17

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