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Finding the Fourth Proportional to 97,238, 134,185.08 and 54,794

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Solution

The fourth proportional to 97,238, 134,185.08 and 54,794 is: 75,613.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,238 : 134,185.08 = 54,794 : x
  2. Step 2: Convert to fraction form
    97,238/134,185.08 = 54,794/x
  3. Step 3: Cross multiply
    97,238x = 134,185.08 × 54,794
  4. Step 4: Simplify right side
    97,238x = 7,352,537,273.52
  5. Step 5: Solve for x
    x = 7,352,537,273.52/97,238
  6. Step 6: Final answer
    x = 75,613.83

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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.