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Finding the Fourth Proportional to 260,514.25, 359,509.67 and 147,334.57

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Solution

The fourth proportional to 260,514.25, 359,509.67 and 147,334.57 is: 203,321.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,514.25 : 359,509.67 = 147,334.57 : x
  2. Step 2: Convert to fraction form
    260,514.25/359,509.67 = 147,334.57/x
  3. Step 3: Cross multiply
    260,514.25x = 359,509.67 × 147,334.57
  4. Step 4: Simplify right side
    260,514.25x = 52,968,201,903.62
  5. Step 5: Solve for x
    x = 52,968,201,903.62/260,514.25
  6. Step 6: Final answer
    x = 203,321.71

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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.