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Finding the Fourth Proportional to 262,027.86, 361,578.54 and 147,288.24

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Solution

The fourth proportional to 262,027.86, 361,578.54 and 147,288.24 is: 203,246.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,027.86 : 361,578.54 = 147,288.24 : x
  2. Step 2: Convert to fraction form
    262,027.86/361,578.54 = 147,288.24/x
  3. Step 3: Cross multiply
    262,027.86x = 361,578.54 × 147,288.24
  4. Step 4: Simplify right side
    262,027.86x = 53,256,266,778.37
  5. Step 5: Solve for x
    x = 53,256,266,778.37/262,027.86
  6. Step 6: Final answer
    x = 203,246.58

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1.5x scale

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.