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Finding the Fourth Proportional to 230,284.70, 345,473.62 and 97,165.24

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Solution

The fourth proportional to 230,284.70, 345,473.62 and 97,165.24 is: 145,767.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,284.70 : 345,473.62 = 97,165.24 : x
  2. Step 2: Convert to fraction form
    230,284.70/345,473.62 = 97,165.24/x
  3. Step 3: Cross multiply
    230,284.70x = 345,473.62 × 97,165.24
  4. Step 4: Simplify right side
    230,284.70x = 33,568,027,200.97
  5. Step 5: Solve for x
    x = 33,568,027,200.97/230,284.70
  6. Step 6: Final answer
    x = 145,767.51

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1.5x scale

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.