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Finding the Fourth Proportional to 205,256.22, 307,973.03 and 110,375.51

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Solution

The fourth proportional to 205,256.22, 307,973.03 and 110,375.51 is: 165,610.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,256.22 : 307,973.03 = 110,375.51 : x
  2. Step 2: Convert to fraction form
    205,256.22/307,973.03 = 110,375.51/x
  3. Step 3: Cross multiply
    205,256.22x = 307,973.03 × 110,375.51
  4. Step 4: Simplify right side
    205,256.22x = 33,992,679,758.50
  5. Step 5: Solve for x
    x = 33,992,679,758.50/205,256.22
  6. Step 6: Final answer
    x = 165,610.96

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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.