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Finding the Fourth Proportional to 101,189.82, 151,781.66 and 26,308.31

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Solution

The fourth proportional to 101,189.82, 151,781.66 and 26,308.31 is: 39,461.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,189.82 : 151,781.66 = 26,308.31 : x
  2. Step 2: Convert to fraction form
    101,189.82/151,781.66 = 26,308.31/x
  3. Step 3: Cross multiply
    101,189.82x = 151,781.66 × 26,308.31
  4. Step 4: Simplify right side
    101,189.82x = 3,993,119,211.51
  5. Step 5: Solve for x
    x = 3,993,119,211.51/101,189.82
  6. Step 6: Final answer
    x = 39,461.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.