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Finding the Fourth Proportional to 97,407.80, 146,226.90 and 96,716.60

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Solution

The fourth proportional to 97,407.80, 146,226.90 and 96,716.60 is: 145,189.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,407.80 : 146,226.90 = 96,716.60 : x
  2. Step 2: Convert to fraction form
    97,407.80/146,226.90 = 96,716.60/x
  3. Step 3: Cross multiply
    97,407.80x = 146,226.90 × 96,716.60
  4. Step 4: Simplify right side
    97,407.80x = 14,142,568,596.54
  5. Step 5: Solve for x
    x = 14,142,568,596.54/97,407.80
  6. Step 6: Final answer
    x = 145,189.28

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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.