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Finding the Fourth Proportional to 106,507.98, 159,740.10 and 50,324.22

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Solution

The fourth proportional to 106,507.98, 159,740.10 and 50,324.22 is: 75,476.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,507.98 : 159,740.10 = 50,324.22 : x
  2. Step 2: Convert to fraction form
    106,507.98/159,740.10 = 50,324.22/x
  3. Step 3: Cross multiply
    106,507.98x = 159,740.10 × 50,324.22
  4. Step 4: Simplify right side
    106,507.98x = 8,038,795,935.22
  5. Step 5: Solve for x
    x = 8,038,795,935.22/106,507.98
  6. Step 6: Final answer
    x = 75,476.00

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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.