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Finding the Fourth Proportional to 340,104.80, 510,135.60 and 115,464.80

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Solution

The fourth proportional to 340,104.80, 510,135.60 and 115,464.80 is: 173,189.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,104.80 : 510,135.60 = 115,464.80 : x
  2. Step 2: Convert to fraction form
    340,104.80/510,135.60 = 115,464.80/x
  3. Step 3: Cross multiply
    340,104.80x = 510,135.60 × 115,464.80
  4. Step 4: Simplify right side
    340,104.80x = 58,902,705,026.88
  5. Step 5: Solve for x
    x = 58,902,705,026.88/340,104.80
  6. Step 6: Final answer
    x = 173,189.87

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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.