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Finding the Fourth Proportional to 208,514.50, 312,829.35 and 60,770.50

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Solution

The fourth proportional to 208,514.50, 312,829.35 and 60,770.50 is: 91,172.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,514.50 : 312,829.35 = 60,770.50 : x
  2. Step 2: Convert to fraction form
    208,514.50/312,829.35 = 60,770.50/x
  3. Step 3: Cross multiply
    208,514.50x = 312,829.35 × 60,770.50
  4. Step 4: Simplify right side
    208,514.50x = 19,010,796,014.18
  5. Step 5: Solve for x
    x = 19,010,796,014.18/208,514.50
  6. Step 6: Final answer
    x = 91,172.54

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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.