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Finding the Fourth Proportional to 97,394.51, 146,107.88 and 34,198.21

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Solution

The fourth proportional to 97,394.51, 146,107.88 and 34,198.21 is: 51,302.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,394.51 : 146,107.88 = 34,198.21 : x
  2. Step 2: Convert to fraction form
    97,394.51/146,107.88 = 34,198.21/x
  3. Step 3: Cross multiply
    97,394.51x = 146,107.88 × 34,198.21
  4. Step 4: Simplify right side
    97,394.51x = 4,996,627,962.89
  5. Step 5: Solve for x
    x = 4,996,627,962.89/97,394.51
  6. Step 6: Final answer
    x = 51,302.97

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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.