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Finding the Fourth Proportional to 259,216.38, 388,519.08 and 116,895.02

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Solution

The fourth proportional to 259,216.38, 388,519.08 and 116,895.02 is: 175,204.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,216.38 : 388,519.08 = 116,895.02 : x
  2. Step 2: Convert to fraction form
    259,216.38/388,519.08 = 116,895.02/x
  3. Step 3: Cross multiply
    259,216.38x = 388,519.08 × 116,895.02
  4. Step 4: Simplify right side
    259,216.38x = 45,415,945,626.98
  5. Step 5: Solve for x
    x = 45,415,945,626.98/259,216.38
  6. Step 6: Final answer
    x = 175,204.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.