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Finding the Fourth Proportional to 230,563.56, 345,881.10 and 97,444.38

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Solution

The fourth proportional to 230,563.56, 345,881.10 and 97,444.38 is: 146,181.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,563.56 : 345,881.10 = 97,444.38 : x
  2. Step 2: Convert to fraction form
    230,563.56/345,881.10 = 97,444.38/x
  3. Step 3: Cross multiply
    230,563.56x = 345,881.10 × 97,444.38
  4. Step 4: Simplify right side
    230,563.56x = 33,704,169,343.22
  5. Step 5: Solve for x
    x = 33,704,169,343.22/230,563.56
  6. Step 6: Final answer
    x = 146,181.68

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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.