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Finding the Fourth Proportional to 262,146.96, 361,758.42 and 145,855.92

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Solution

The fourth proportional to 262,146.96, 361,758.42 and 145,855.92 is: 201,278.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,146.96 : 361,758.42 = 145,855.92 : x
  2. Step 2: Convert to fraction form
    262,146.96/361,758.42 = 145,855.92/x
  3. Step 3: Cross multiply
    262,146.96x = 361,758.42 × 145,855.92
  4. Step 4: Simplify right side
    262,146.96x = 52,764,607,166.85
  5. Step 5: Solve for x
    x = 52,764,607,166.85/262,146.96
  6. Step 6: Final answer
    x = 201,278.73

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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.