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Finding the Fourth Proportional to 262,120.32, 361,728.72 and 148,923.36

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Solution

The fourth proportional to 262,120.32, 361,728.72 and 148,923.36 is: 205,515.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,120.32 : 361,728.72 = 148,923.36 : x
  2. Step 2: Convert to fraction form
    262,120.32/361,728.72 = 148,923.36/x
  3. Step 3: Cross multiply
    262,120.32x = 361,728.72 × 148,923.36
  4. Step 4: Simplify right side
    262,120.32x = 53,869,856,390.90
  5. Step 5: Solve for x
    x = 53,869,856,390.90/262,120.32
  6. Step 6: Final answer
    x = 205,515.76

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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.