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Finding the Fourth Proportional to 106,409.89, 146,740.44 and 90,321.13

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Solution

The fourth proportional to 106,409.89, 146,740.44 and 90,321.13 is: 124,553.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,409.89 : 146,740.44 = 90,321.13 : x
  2. Step 2: Convert to fraction form
    106,409.89/146,740.44 = 90,321.13/x
  3. Step 3: Cross multiply
    106,409.89x = 146,740.44 × 90,321.13
  4. Step 4: Simplify right side
    106,409.89x = 13,253,762,357.50
  5. Step 5: Solve for x
    x = 13,253,762,357.50/106,409.89
  6. Step 6: Final answer
    x = 124,553.86

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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.