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Finding the Fourth Proportional to 260,771.73, 359,803.30 and 147,594.48

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Solution

The fourth proportional to 260,771.73, 359,803.30 and 147,594.48 is: 203,645.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,771.73 : 359,803.30 = 147,594.48 : x
  2. Step 2: Convert to fraction form
    260,771.73/359,803.30 = 147,594.48/x
  3. Step 3: Cross multiply
    260,771.73x = 359,803.30 × 147,594.48
  4. Step 4: Simplify right side
    260,771.73x = 53,104,980,965.78
  5. Step 5: Solve for x
    x = 53,104,980,965.78/260,771.73
  6. Step 6: Final answer
    x = 203,645.47

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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.