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Finding the Fourth Proportional to 331,051, 456,850.38 and 180,149.08

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Solution

The fourth proportional to 331,051, 456,850.38 and 180,149.08 is: 248,605.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,051 : 456,850.38 = 180,149.08 : x
  2. Step 2: Convert to fraction form
    331,051/456,850.38 = 180,149.08/x
  3. Step 3: Cross multiply
    331,051x = 456,850.38 × 180,149.08
  4. Step 4: Simplify right side
    331,051x = 82,301,175,654.65
  5. Step 5: Solve for x
    x = 82,301,175,654.65/331,051
  6. Step 6: Final answer
    x = 248,605.73

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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.