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Finding the Fourth Proportional to 209,501.42, 289,111.42 and 114,008.09

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Solution

The fourth proportional to 209,501.42, 289,111.42 and 114,008.09 is: 157,330.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,501.42 : 289,111.42 = 114,008.09 : x
  2. Step 2: Convert to fraction form
    209,501.42/289,111.42 = 114,008.09/x
  3. Step 3: Cross multiply
    209,501.42x = 289,111.42 × 114,008.09
  4. Step 4: Simplify right side
    209,501.42x = 32,961,040,791.39
  5. Step 5: Solve for x
    x = 32,961,040,791.39/209,501.42
  6. Step 6: Final answer
    x = 157,330.87

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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.