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Finding the Fourth Proportional to 209,609.98, 289,266.96 and 114,121.91

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Solution

The fourth proportional to 209,609.98, 289,266.96 and 114,121.91 is: 157,491.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,609.98 : 289,266.96 = 114,121.91 : x
  2. Step 2: Convert to fraction form
    209,609.98/289,266.96 = 114,121.91/x
  3. Step 3: Cross multiply
    209,609.98x = 289,266.96 × 114,121.91
  4. Step 4: Simplify right side
    209,609.98x = 33,011,699,126.22
  5. Step 5: Solve for x
    x = 33,011,699,126.22/209,609.98
  6. Step 6: Final answer
    x = 157,491.07

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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.