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Finding the Fourth Proportional to 262,753.40, 362,600.04 and 149,576

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Solution

The fourth proportional to 262,753.40, 362,600.04 and 149,576 is: 206,415.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,753.40 : 362,600.04 = 149,576 : x
  2. Step 2: Convert to fraction form
    262,753.40/362,600.04 = 149,576/x
  3. Step 3: Cross multiply
    262,753.40x = 362,600.04 × 149,576
  4. Step 4: Simplify right side
    262,753.40x = 54,236,263,583.04
  5. Step 5: Solve for x
    x = 54,236,263,583.04/262,753.40
  6. Step 6: Final answer
    x = 206,415.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.