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Finding the Fourth Proportional to 209,616.73, 289,276.31 and 114,128.66

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Solution

The fourth proportional to 209,616.73, 289,276.31 and 114,128.66 is: 157,500.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,616.73 : 289,276.31 = 114,128.66 : x
  2. Step 2: Convert to fraction form
    209,616.73/289,276.31 = 114,128.66/x
  3. Step 3: Cross multiply
    209,616.73x = 289,276.31 × 114,128.66
  4. Step 4: Simplify right side
    209,616.73x = 33,014,718,638.56
  5. Step 5: Solve for x
    x = 33,014,718,638.56/209,616.73
  6. Step 6: Final answer
    x = 157,500.40

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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.