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Finding the Fourth Proportional to 209,096.80, 313,802.94 and 96,855.77

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Solution

The fourth proportional to 209,096.80, 313,802.94 and 96,855.77 is: 145,356.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,096.80 : 313,802.94 = 96,855.77 : x
  2. Step 2: Convert to fraction form
    209,096.80/313,802.94 = 96,855.77/x
  3. Step 3: Cross multiply
    209,096.80x = 313,802.94 × 96,855.77
  4. Step 4: Simplify right side
    209,096.80x = 30,393,625,381.96
  5. Step 5: Solve for x
    x = 30,393,625,381.96/209,096.80
  6. Step 6: Final answer
    x = 145,356.72

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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.