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Finding the Fourth Proportional to 205,566.56, 308,345.04 and 94,758.56

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Solution

The fourth proportional to 205,566.56, 308,345.04 and 94,758.56 is: 142,135.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,566.56 : 308,345.04 = 94,758.56 : x
  2. Step 2: Convert to fraction form
    205,566.56/308,345.04 = 94,758.56/x
  3. Step 3: Cross multiply
    205,566.56x = 308,345.04 × 94,758.56
  4. Step 4: Simplify right side
    205,566.56x = 29,218,331,973.54
  5. Step 5: Solve for x
    x = 29,218,331,973.54/205,566.56
  6. Step 6: Final answer
    x = 142,135.63

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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.