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Finding the Fourth Proportional to 262,226.54, 361,866.62 and 160,251.60

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Solution

The fourth proportional to 262,226.54, 361,866.62 and 160,251.60 is: 221,143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,226.54 : 361,866.62 = 160,251.60 : x
  2. Step 2: Convert to fraction form
    262,226.54/361,866.62 = 160,251.60/x
  3. Step 3: Cross multiply
    262,226.54x = 361,866.62 × 160,251.60
  4. Step 4: Simplify right side
    262,226.54x = 57,989,704,841.59
  5. Step 5: Solve for x
    x = 57,989,704,841.59/262,226.54
  6. Step 6: Final answer
    x = 221,143.54

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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.