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Finding the Fourth Proportional to 262,289.54, 361,951.32 and 147,574.71

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Solution

The fourth proportional to 262,289.54, 361,951.32 and 147,574.71 is: 203,648.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,289.54 : 361,951.32 = 147,574.71 : x
  2. Step 2: Convert to fraction form
    262,289.54/361,951.32 = 147,574.71/x
  3. Step 3: Cross multiply
    262,289.54x = 361,951.32 × 147,574.71
  4. Step 4: Simplify right side
    262,289.54x = 53,414,858,535.49
  5. Step 5: Solve for x
    x = 53,414,858,535.49/262,289.54
  6. Step 6: Final answer
    x = 203,648.45

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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.