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Finding the Fourth Proportional to 301,975.50, 416,752.11 and 167,865.42

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Solution

The fourth proportional to 301,975.50, 416,752.11 and 167,865.42 is: 231,668.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,975.50 : 416,752.11 = 167,865.42 : x
  2. Step 2: Convert to fraction form
    301,975.50/416,752.11 = 167,865.42/x
  3. Step 3: Cross multiply
    301,975.50x = 416,752.11 × 167,865.42
  4. Step 4: Simplify right side
    301,975.50x = 69,958,267,981.04
  5. Step 5: Solve for x
    x = 69,958,267,981.04/301,975.50
  6. Step 6: Final answer
    x = 231,668.69

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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.