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Finding the Fourth Proportional to 189,556.90, 261,589.06 and 103,516.67

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Solution

The fourth proportional to 189,556.90, 261,589.06 and 103,516.67 is: 142,853.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,556.90 : 261,589.06 = 103,516.67 : x
  2. Step 2: Convert to fraction form
    189,556.90/261,589.06 = 103,516.67/x
  3. Step 3: Cross multiply
    189,556.90x = 261,589.06 × 103,516.67
  4. Step 4: Simplify right side
    189,556.90x = 27,078,828,399.63
  5. Step 5: Solve for x
    x = 27,078,828,399.63/189,556.90
  6. Step 6: Final answer
    x = 142,853.30

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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.