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Finding the Fourth Proportional to 343,380.80, 515,109.60 and 106,721.60

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Solution

The fourth proportional to 343,380.80, 515,109.60 and 106,721.60 is: 160,094.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,380.80 : 515,109.60 = 106,721.60 : x
  2. Step 2: Convert to fraction form
    343,380.80/515,109.60 = 106,721.60/x
  3. Step 3: Cross multiply
    343,380.80x = 515,109.60 × 106,721.60
  4. Step 4: Simplify right side
    343,380.80x = 54,973,320,687.36
  5. Step 5: Solve for x
    x = 54,973,320,687.36/343,380.80
  6. Step 6: Final answer
    x = 160,094.33

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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.