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Finding the Fourth Proportional to 260,704.68, 359,762.22 and 147,525

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Solution

The fourth proportional to 260,704.68, 359,762.22 and 147,525 is: 203,578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,704.68 : 359,762.22 = 147,525 : x
  2. Step 2: Convert to fraction form
    260,704.68/359,762.22 = 147,525/x
  3. Step 3: Cross multiply
    260,704.68x = 359,762.22 × 147,525
  4. Step 4: Simplify right side
    260,704.68x = 53,073,921,505.50
  5. Step 5: Solve for x
    x = 53,073,921,505.50/260,704.68
  6. Step 6: Final answer
    x = 203,578.71

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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.