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Finding the Fourth Proportional to 200,668.60, 301,047.30 and 67,544.50

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Solution

The fourth proportional to 200,668.60, 301,047.30 and 67,544.50 is: 101,331.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,668.60 : 301,047.30 = 67,544.50 : x
  2. Step 2: Convert to fraction form
    200,668.60/301,047.30 = 67,544.50/x
  3. Step 3: Cross multiply
    200,668.60x = 301,047.30 × 67,544.50
  4. Step 4: Simplify right side
    200,668.60x = 20,334,089,354.85
  5. Step 5: Solve for x
    x = 20,334,089,354.85/200,668.60
  6. Step 6: Final answer
    x = 101,331.69

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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.