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Finding the Fourth Proportional to 186,794.46, 280,326.36 and 74,409.66

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Solution

The fourth proportional to 186,794.46, 280,326.36 and 74,409.66 is: 111,668.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,794.46 : 280,326.36 = 74,409.66 : x
  2. Step 2: Convert to fraction form
    186,794.46/280,326.36 = 74,409.66/x
  3. Step 3: Cross multiply
    186,794.46x = 280,326.36 × 74,409.66
  4. Step 4: Simplify right side
    186,794.46x = 20,858,989,136.64
  5. Step 5: Solve for x
    x = 20,858,989,136.64/186,794.46
  6. Step 6: Final answer
    x = 111,668.14

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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.