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Finding the Fourth Proportional to 262,313.64, 361,947.69 and 147,576.33

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Solution

The fourth proportional to 262,313.64, 361,947.69 and 147,576.33 is: 203,629.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,313.64 : 361,947.69 = 147,576.33 : x
  2. Step 2: Convert to fraction form
    262,313.64/361,947.69 = 147,576.33/x
  3. Step 3: Cross multiply
    262,313.64x = 361,947.69 × 147,576.33
  4. Step 4: Simplify right side
    262,313.64x = 53,414,911,742.18
  5. Step 5: Solve for x
    x = 53,414,911,742.18/262,313.64
  6. Step 6: Final answer
    x = 203,629.94

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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.