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Finding the Fourth Proportional to 260,064.60, 389,232.90 and 188,784.60

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Solution

The fourth proportional to 260,064.60, 389,232.90 and 188,784.60 is: 282,549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,064.60 : 389,232.90 = 188,784.60 : x
  2. Step 2: Convert to fraction form
    260,064.60/389,232.90 = 188,784.60/x
  3. Step 3: Cross multiply
    260,064.60x = 389,232.90 × 188,784.60
  4. Step 4: Simplify right side
    260,064.60x = 73,481,177,333.34
  5. Step 5: Solve for x
    x = 73,481,177,333.34/260,064.60
  6. Step 6: Final answer
    x = 282,549.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.