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Finding the Fourth Proportional to 133,069.10, 199,603.65 and 106,825.10

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Solution

The fourth proportional to 133,069.10, 199,603.65 and 106,825.10 is: 160,237.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,069.10 : 199,603.65 = 106,825.10 : x
  2. Step 2: Convert to fraction form
    133,069.10/199,603.65 = 106,825.10/x
  3. Step 3: Cross multiply
    133,069.10x = 199,603.65 × 106,825.10
  4. Step 4: Simplify right side
    133,069.10x = 21,322,679,871.62
  5. Step 5: Solve for x
    x = 21,322,679,871.62/133,069.10
  6. Step 6: Final answer
    x = 160,237.65

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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.