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Finding the Fourth Proportional to 225,728.49, 311,303.55 and 149,325.65

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Solution

The fourth proportional to 225,728.49, 311,303.55 and 149,325.65 is: 205,935.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,728.49 : 311,303.55 = 149,325.65 : x
  2. Step 2: Convert to fraction form
    225,728.49/311,303.55 = 149,325.65/x
  3. Step 3: Cross multiply
    225,728.49x = 311,303.55 × 149,325.65
  4. Step 4: Simplify right side
    225,728.49x = 46,485,605,121.90
  5. Step 5: Solve for x
    x = 46,485,605,121.90/225,728.49
  6. Step 6: Final answer
    x = 205,935.92

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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.