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Finding the Fourth Proportional to 208,111.80, 312,218.10 and 60,367.80

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Solution

The fourth proportional to 208,111.80, 312,218.10 and 60,367.80 is: 90,566.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,111.80 : 312,218.10 = 60,367.80 : x
  2. Step 2: Convert to fraction form
    208,111.80/312,218.10 = 60,367.80/x
  3. Step 3: Cross multiply
    208,111.80x = 312,218.10 × 60,367.80
  4. Step 4: Simplify right side
    208,111.80x = 18,847,919,817.18
  5. Step 5: Solve for x
    x = 18,847,919,817.18/208,111.80
  6. Step 6: Final answer
    x = 90,566.32

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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.