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Finding the Fourth Proportional to 209,443.31, 289,033.02 and 113,950.69

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Solution

The fourth proportional to 209,443.31, 289,033.02 and 113,950.69 is: 157,252.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,443.31 : 289,033.02 = 113,950.69 : x
  2. Step 2: Convert to fraction form
    209,443.31/289,033.02 = 113,950.69/x
  3. Step 3: Cross multiply
    209,443.31x = 289,033.02 × 113,950.69
  4. Step 4: Simplify right side
    209,443.31x = 32,935,512,061.78
  5. Step 5: Solve for x
    x = 32,935,512,061.78/209,443.31
  6. Step 6: Final answer
    x = 157,252.63

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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.