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Finding the Fourth Proportional to 97,696.80, 146,317.30 and 71,336.16

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Solution

The fourth proportional to 97,696.80, 146,317.30 and 71,336.16 is: 106,837.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,696.80 : 146,317.30 = 71,336.16 : x
  2. Step 2: Convert to fraction form
    97,696.80/146,317.30 = 71,336.16/x
  3. Step 3: Cross multiply
    97,696.80x = 146,317.30 × 71,336.16
  4. Step 4: Simplify right side
    97,696.80x = 10,437,714,323.57
  5. Step 5: Solve for x
    x = 10,437,714,323.57/97,696.80
  6. Step 6: Final answer
    x = 106,837.83

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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.