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Finding the Fourth Proportional to 97,696.23, 146,676.74 and 67,638.30

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Solution

The fourth proportional to 97,696.23, 146,676.74 and 67,638.30 is: 101,549.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,696.23 : 146,676.74 = 67,638.30 : x
  2. Step 2: Convert to fraction form
    97,696.23/146,676.74 = 67,638.30/x
  3. Step 3: Cross multiply
    97,696.23x = 146,676.74 × 67,638.30
  4. Step 4: Simplify right side
    97,696.23x = 9,920,965,004.95
  5. Step 5: Solve for x
    x = 9,920,965,004.95/97,696.23
  6. Step 6: Final answer
    x = 101,549.11

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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.