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Finding the Fourth Proportional to 185,344.49, 255,802.73 and 117,367.67

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Solution

The fourth proportional to 185,344.49, 255,802.73 and 117,367.67 is: 161,984.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,344.49 : 255,802.73 = 117,367.67 : x
  2. Step 2: Convert to fraction form
    185,344.49/255,802.73 = 117,367.67/x
  3. Step 3: Cross multiply
    185,344.49x = 255,802.73 × 117,367.67
  4. Step 4: Simplify right side
    185,344.49x = 30,022,970,452.41
  5. Step 5: Solve for x
    x = 30,022,970,452.41/185,344.49
  6. Step 6: Final answer
    x = 161,984.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.