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Finding the Fourth Proportional to 209,423.36, 289,004.64 and 113,930.48

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Solution

The fourth proportional to 209,423.36, 289,004.64 and 113,930.48 is: 157,224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,423.36 : 289,004.64 = 113,930.48 : x
  2. Step 2: Convert to fraction form
    209,423.36/289,004.64 = 113,930.48/x
  3. Step 3: Cross multiply
    209,423.36x = 289,004.64 × 113,930.48
  4. Step 4: Simplify right side
    209,423.36x = 32,926,437,357.43
  5. Step 5: Solve for x
    x = 32,926,437,357.43/209,423.36
  6. Step 6: Final answer
    x = 157,224.28

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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.