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Finding the Fourth Proportional to 307,813.80, 460,986.30 and 149,533.80

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Solution

The fourth proportional to 307,813.80, 460,986.30 and 149,533.80 is: 223,943.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,813.80 : 460,986.30 = 149,533.80 : x
  2. Step 2: Convert to fraction form
    307,813.80/460,986.30 = 149,533.80/x
  3. Step 3: Cross multiply
    307,813.80x = 460,986.30 × 149,533.80
  4. Step 4: Simplify right side
    307,813.80x = 68,933,033,186.94
  5. Step 5: Solve for x
    x = 68,933,033,186.94/307,813.80
  6. Step 6: Final answer
    x = 223,943.93

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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.