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Finding the Fourth Proportional to 130,556.69, 195,814.01 and 35,764.70

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Solution

The fourth proportional to 130,556.69, 195,814.01 and 35,764.70 is: 53,641.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,556.69 : 195,814.01 = 35,764.70 : x
  2. Step 2: Convert to fraction form
    130,556.69/195,814.01 = 35,764.70/x
  3. Step 3: Cross multiply
    130,556.69x = 195,814.01 × 35,764.70
  4. Step 4: Simplify right side
    130,556.69x = 7,003,229,609.43
  5. Step 5: Solve for x
    x = 7,003,229,609.43/130,556.69
  6. Step 6: Final answer
    x = 53,641.29

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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.