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Finding the Fourth Proportional to 205,973.20, 308,959.80 and 100,997.20

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Solution

The fourth proportional to 205,973.20, 308,959.80 and 100,997.20 is: 151,495.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,973.20 : 308,959.80 = 100,997.20 : x
  2. Step 2: Convert to fraction form
    205,973.20/308,959.80 = 100,997.20/x
  3. Step 3: Cross multiply
    205,973.20x = 308,959.80 × 100,997.20
  4. Step 4: Simplify right side
    205,973.20x = 31,204,074,712.56
  5. Step 5: Solve for x
    x = 31,204,074,712.56/205,973.20
  6. Step 6: Final answer
    x = 151,495.80

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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.