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Finding the Fourth Proportional to 209,497.42, 289,105.90 and 114,004.09

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Solution

The fourth proportional to 209,497.42, 289,105.90 and 114,004.09 is: 157,325.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,497.42 : 289,105.90 = 114,004.09 : x
  2. Step 2: Convert to fraction form
    209,497.42/289,105.90 = 114,004.09/x
  3. Step 3: Cross multiply
    209,497.42x = 289,105.90 × 114,004.09
  4. Step 4: Simplify right side
    209,497.42x = 32,959,255,043.13
  5. Step 5: Solve for x
    x = 32,959,255,043.13/209,497.42
  6. Step 6: Final answer
    x = 157,325.35

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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.