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Finding the Fourth Proportional to 103,634.22, 155,247.94 and 53,746.93

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Solution

The fourth proportional to 103,634.22, 155,247.94 and 53,746.93 is: 80,514.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,634.22 : 155,247.94 = 53,746.93 : x
  2. Step 2: Convert to fraction form
    103,634.22/155,247.94 = 53,746.93/x
  3. Step 3: Cross multiply
    103,634.22x = 155,247.94 × 53,746.93
  4. Step 4: Simplify right side
    103,634.22x = 8,344,100,163.82
  5. Step 5: Solve for x
    x = 8,344,100,163.82/103,634.22
  6. Step 6: Final answer
    x = 80,514.91

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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.