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Finding the Fourth Proportional to 209,883.08, 289,620.34 and 116,730.99

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Solution

The fourth proportional to 209,883.08, 289,620.34 and 116,730.99 is: 161,078.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,883.08 : 289,620.34 = 116,730.99 : x
  2. Step 2: Convert to fraction form
    209,883.08/289,620.34 = 116,730.99/x
  3. Step 3: Cross multiply
    209,883.08x = 289,620.34 × 116,730.99
  4. Step 4: Simplify right side
    209,883.08x = 33,807,668,720.51
  5. Step 5: Solve for x
    x = 33,807,668,720.51/209,883.08
  6. Step 6: Final answer
    x = 161,078.58

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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.