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Finding the Fourth Proportional to 202,816.20, 303,928.46 and 114,094.60

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Solution

The fourth proportional to 202,816.20, 303,928.46 and 114,094.60 is: 170,975.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,816.20 : 303,928.46 = 114,094.60 : x
  2. Step 2: Convert to fraction form
    202,816.20/303,928.46 = 114,094.60/x
  3. Step 3: Cross multiply
    202,816.20x = 303,928.46 × 114,094.60
  4. Step 4: Simplify right side
    202,816.20x = 34,676,596,072.32
  5. Step 5: Solve for x
    x = 34,676,596,072.32/202,816.20
  6. Step 6: Final answer
    x = 170,975.47

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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.