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Finding the Fourth Proportional to 209,889.39, 289,653.43 and 114,402.27

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Solution

The fourth proportional to 209,889.39, 289,653.43 and 114,402.27 is: 157,878.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,889.39 : 289,653.43 = 114,402.27 : x
  2. Step 2: Convert to fraction form
    209,889.39/289,653.43 = 114,402.27/x
  3. Step 3: Cross multiply
    209,889.39x = 289,653.43 × 114,402.27
  4. Step 4: Simplify right side
    209,889.39x = 33,137,009,905.29
  5. Step 5: Solve for x
    x = 33,137,009,905.29/209,889.39
  6. Step 6: Final answer
    x = 157,878.44

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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.