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Finding the Fourth Proportional to 276,813.09, 382,002.09 and 149,488.69

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Solution

The fourth proportional to 276,813.09, 382,002.09 and 149,488.69 is: 206,294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,813.09 : 382,002.09 = 149,488.69 : x
  2. Step 2: Convert to fraction form
    276,813.09/382,002.09 = 149,488.69/x
  3. Step 3: Cross multiply
    276,813.09x = 382,002.09 × 149,488.69
  4. Step 4: Simplify right side
    276,813.09x = 57,104,990,101.35
  5. Step 5: Solve for x
    x = 57,104,990,101.35/276,813.09
  6. Step 6: Final answer
    x = 206,294.40

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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.