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Finding the Fourth Proportional to 230,644.56, 345,991.46 and 97,538.28

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Solution

The fourth proportional to 230,644.56, 345,991.46 and 97,538.28 is: 146,317.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,644.56 : 345,991.46 = 97,538.28 : x
  2. Step 2: Convert to fraction form
    230,644.56/345,991.46 = 97,538.28/x
  3. Step 3: Cross multiply
    230,644.56x = 345,991.46 × 97,538.28
  4. Step 4: Simplify right side
    230,644.56x = 33,747,411,903.09
  5. Step 5: Solve for x
    x = 33,747,411,903.09/230,644.56
  6. Step 6: Final answer
    x = 146,317.83

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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.