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Finding the Fourth Proportional to 208,764.60, 313,607.70 and 146,556.60

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Solution

The fourth proportional to 208,764.60, 313,607.70 and 146,556.60 is: 220,158.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,764.60 : 313,607.70 = 146,556.60 : x
  2. Step 2: Convert to fraction form
    208,764.60/313,607.70 = 146,556.60/x
  3. Step 3: Cross multiply
    208,764.60x = 313,607.70 × 146,556.60
  4. Step 4: Simplify right side
    208,764.60x = 45,961,278,245.82
  5. Step 5: Solve for x
    x = 45,961,278,245.82/208,764.60
  6. Step 6: Final answer
    x = 220,158.39

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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.