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Finding the Fourth Proportional to 133,850.70, 200,430.45 and 106,202.70

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Solution

The fourth proportional to 133,850.70, 200,430.45 and 106,202.70 is: 159,029.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,850.70 : 200,430.45 = 106,202.70 : x
  2. Step 2: Convert to fraction form
    133,850.70/200,430.45 = 106,202.70/x
  3. Step 3: Cross multiply
    133,850.70x = 200,430.45 × 106,202.70
  4. Step 4: Simplify right side
    133,850.70x = 21,286,254,952.22
  5. Step 5: Solve for x
    x = 21,286,254,952.22/133,850.70
  6. Step 6: Final answer
    x = 159,029.84

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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.