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Finding the Fourth Proportional to 218,800.50, 301,944.96 and 118,198.50

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Solution

The fourth proportional to 218,800.50, 301,944.96 and 118,198.50 is: 163,114.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,800.50 : 301,944.96 = 118,198.50 : x
  2. Step 2: Convert to fraction form
    218,800.50/301,944.96 = 118,198.50/x
  3. Step 3: Cross multiply
    218,800.50x = 301,944.96 × 118,198.50
  4. Step 4: Simplify right side
    218,800.50x = 35,689,441,354.56
  5. Step 5: Solve for x
    x = 35,689,441,354.56/218,800.50
  6. Step 6: Final answer
    x = 163,114.08

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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.