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Finding the Fourth Proportional to 203,830.65, 304,373.43 and 166,464.90

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Solution

The fourth proportional to 203,830.65, 304,373.43 and 166,464.90 is: 248,576.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,830.65 : 304,373.43 = 166,464.90 : x
  2. Step 2: Convert to fraction form
    203,830.65/304,373.43 = 166,464.90/x
  3. Step 3: Cross multiply
    203,830.65x = 304,373.43 × 166,464.90
  4. Step 4: Simplify right side
    203,830.65x = 50,667,492,587.61
  5. Step 5: Solve for x
    x = 50,667,492,587.61/203,830.65
  6. Step 6: Final answer
    x = 248,576.42

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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.