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Finding the Fourth Proportional to 260,034.60, 389,792.70 and 119,548.20

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Solution

The fourth proportional to 260,034.60, 389,792.70 and 119,548.20 is: 179,203.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,034.60 : 389,792.70 = 119,548.20 : x
  2. Step 2: Convert to fraction form
    260,034.60/389,792.70 = 119,548.20/x
  3. Step 3: Cross multiply
    260,034.60x = 389,792.70 × 119,548.20
  4. Step 4: Simplify right side
    260,034.60x = 46,599,015,658.14
  5. Step 5: Solve for x
    x = 46,599,015,658.14/260,034.60
  6. Step 6: Final answer
    x = 179,203.14

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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.