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Finding the Fourth Proportional to 209,536.83, 289,160.82 and 114,044.22

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Solution

The fourth proportional to 209,536.83, 289,160.82 and 114,044.22 is: 157,381.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,536.83 : 289,160.82 = 114,044.22 : x
  2. Step 2: Convert to fraction form
    209,536.83/289,160.82 = 114,044.22/x
  3. Step 3: Cross multiply
    209,536.83x = 289,160.82 × 114,044.22
  4. Step 4: Simplify right side
    209,536.83x = 32,977,120,171.46
  5. Step 5: Solve for x
    x = 32,977,120,171.46/209,536.83
  6. Step 6: Final answer
    x = 157,381.02

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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.