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Finding the Fourth Proportional to 219,596.50, 303,043.17 and 118,994.50

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Solution

The fourth proportional to 219,596.50, 303,043.17 and 118,994.50 is: 164,212.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,596.50 : 303,043.17 = 118,994.50 : x
  2. Step 2: Convert to fraction form
    219,596.50/303,043.17 = 118,994.50/x
  3. Step 3: Cross multiply
    219,596.50x = 303,043.17 × 118,994.50
  4. Step 4: Simplify right side
    219,596.50x = 36,060,470,492.57
  5. Step 5: Solve for x
    x = 36,060,470,492.57/219,596.50
  6. Step 6: Final answer
    x = 164,212.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.