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Finding the Fourth Proportional to 205,959.23, 308,929.63 and 56,199.04

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Solution

The fourth proportional to 205,959.23, 308,929.63 and 56,199.04 is: 84,296.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,959.23 : 308,929.63 = 56,199.04 : x
  2. Step 2: Convert to fraction form
    205,959.23/308,929.63 = 56,199.04/x
  3. Step 3: Cross multiply
    205,959.23x = 308,929.63 × 56,199.04
  4. Step 4: Simplify right side
    205,959.23x = 17,361,548,633.56
  5. Step 5: Solve for x
    x = 17,361,548,633.56/205,959.23
  6. Step 6: Final answer
    x = 84,296.05

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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.