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Finding the Fourth Proportional to 209,668.32, 289,365.36 and 129,079.76

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Solution

The fourth proportional to 209,668.32, 289,365.36 and 129,079.76 is: 178,144.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,668.32 : 289,365.36 = 129,079.76 : x
  2. Step 2: Convert to fraction form
    209,668.32/289,365.36 = 129,079.76/x
  3. Step 3: Cross multiply
    209,668.32x = 289,365.36 × 129,079.76
  4. Step 4: Simplify right side
    209,668.32x = 37,351,211,221.11
  5. Step 5: Solve for x
    x = 37,351,211,221.11/209,668.32
  6. Step 6: Final answer
    x = 178,144.28

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