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Finding the Fourth Proportional to 209,537.10, 289,161.18 and 114,044.48

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Solution

The fourth proportional to 209,537.10, 289,161.18 and 114,044.48 is: 157,381.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,537.10 : 289,161.18 = 114,044.48 : x
  2. Step 2: Convert to fraction form
    209,537.10/289,161.18 = 114,044.48/x
  3. Step 3: Cross multiply
    209,537.10x = 289,161.18 × 114,044.48
  4. Step 4: Simplify right side
    209,537.10x = 32,977,234,393.26
  5. Step 5: Solve for x
    x = 32,977,234,393.26/209,537.10
  6. Step 6: Final answer
    x = 157,381.37

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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.