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Finding the Fourth Proportional to 205,566.24, 308,344.88 and 94,758.24

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Solution

The fourth proportional to 205,566.24, 308,344.88 and 94,758.24 is: 142,135.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,566.24 : 308,344.88 = 94,758.24 : x
  2. Step 2: Convert to fraction form
    205,566.24/308,344.88 = 94,758.24/x
  3. Step 3: Cross multiply
    205,566.24x = 308,344.88 × 94,758.24
  4. Step 4: Simplify right side
    205,566.24x = 29,218,218,141.81
  5. Step 5: Solve for x
    x = 29,218,218,141.81/205,566.24
  6. Step 6: Final answer
    x = 142,135.29

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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.