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Finding the Fourth Proportional to 260,698.68, 359,771.76 and 147,519

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Solution

The fourth proportional to 260,698.68, 359,771.76 and 147,519 is: 203,580.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,698.68 : 359,771.76 = 147,519 : x
  2. Step 2: Convert to fraction form
    260,698.68/359,771.76 = 147,519/x
  3. Step 3: Cross multiply
    260,698.68x = 359,771.76 × 147,519
  4. Step 4: Simplify right side
    260,698.68x = 53,073,170,263.44
  5. Step 5: Solve for x
    x = 53,073,170,263.44/260,698.68
  6. Step 6: Final answer
    x = 203,580.51

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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.