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Finding the Fourth Proportional to 193,252.60, 289,929.30 and 74,927.80

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Solution

The fourth proportional to 193,252.60, 289,929.30 and 74,927.80 is: 112,411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,252.60 : 289,929.30 = 74,927.80 : x
  2. Step 2: Convert to fraction form
    193,252.60/289,929.30 = 74,927.80/x
  3. Step 3: Cross multiply
    193,252.60x = 289,929.30 × 74,927.80
  4. Step 4: Simplify right side
    193,252.60x = 21,723,764,604.54
  5. Step 5: Solve for x
    x = 21,723,764,604.54/193,252.60
  6. Step 6: Final answer
    x = 112,411.24

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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.