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Finding the Fourth Proportional to 209,638.60, 289,301.96 and 114,145.88

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Solution

The fourth proportional to 209,638.60, 289,301.96 and 114,145.88 is: 157,521.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,638.60 : 289,301.96 = 114,145.88 : x
  2. Step 2: Convert to fraction form
    209,638.60/289,301.96 = 114,145.88/x
  3. Step 3: Cross multiply
    209,638.60x = 289,301.96 × 114,145.88
  4. Step 4: Simplify right side
    209,638.60x = 33,022,625,648.78
  5. Step 5: Solve for x
    x = 33,022,625,648.78/209,638.60
  6. Step 6: Final answer
    x = 157,521.69

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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.