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Finding the Fourth Proportional to 189,768.50, 261,811.29 and 146,174.26

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Solution

The fourth proportional to 189,768.50, 261,811.29 and 146,174.26 is: 201,667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,768.50 : 261,811.29 = 146,174.26 : x
  2. Step 2: Convert to fraction form
    189,768.50/261,811.29 = 146,174.26/x
  3. Step 3: Cross multiply
    189,768.50x = 261,811.29 × 146,174.26
  4. Step 4: Simplify right side
    189,768.50x = 38,270,071,575.40
  5. Step 5: Solve for x
    x = 38,270,071,575.40/189,768.50
  6. Step 6: Final answer
    x = 201,667.14

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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.