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Finding the Fourth Proportional to 262,148.32, 361,760.34 and 145,857.43

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Solution

The fourth proportional to 262,148.32, 361,760.34 and 145,857.43 is: 201,280.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,148.32 : 361,760.34 = 145,857.43 : x
  2. Step 2: Convert to fraction form
    262,148.32/361,760.34 = 145,857.43/x
  3. Step 3: Cross multiply
    262,148.32x = 361,760.34 × 145,857.43
  4. Step 4: Simplify right side
    262,148.32x = 52,765,433,468.33
  5. Step 5: Solve for x
    x = 52,765,433,468.33/262,148.32
  6. Step 6: Final answer
    x = 201,280.84

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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.