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Finding the Fourth Proportional to 203,820.75, 304,358.58 and 166,454.94

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Solution

The fourth proportional to 203,820.75, 304,358.58 and 166,454.94 is: 248,561.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,820.75 : 304,358.58 = 166,454.94 : x
  2. Step 2: Convert to fraction form
    203,820.75/304,358.58 = 166,454.94/x
  3. Step 3: Cross multiply
    203,820.75x = 304,358.58 × 166,454.94
  4. Step 4: Simplify right side
    203,820.75x = 50,661,989,172.39
  5. Step 5: Solve for x
    x = 50,661,989,172.39/203,820.75
  6. Step 6: Final answer
    x = 248,561.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.