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Finding the Fourth Proportional to 209,752.10, 289,456.43 and 114,258.80

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Solution

The fourth proportional to 209,752.10, 289,456.43 and 114,258.80 is: 157,676.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,752.10 : 289,456.43 = 114,258.80 : x
  2. Step 2: Convert to fraction form
    209,752.10/289,456.43 = 114,258.80/x
  3. Step 3: Cross multiply
    209,752.10x = 289,456.43 × 114,258.80
  4. Step 4: Simplify right side
    209,752.10x = 33,072,944,496.43
  5. Step 5: Solve for x
    x = 33,072,944,496.43/209,752.10
  6. Step 6: Final answer
    x = 157,676.34

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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.