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Finding the Fourth Proportional to 230,805.20, 345,948.60 and 97,662.80

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Solution

The fourth proportional to 230,805.20, 345,948.60 and 97,662.80 is: 146,384.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,805.20 : 345,948.60 = 97,662.80 : x
  2. Step 2: Convert to fraction form
    230,805.20/345,948.60 = 97,662.80/x
  3. Step 3: Cross multiply
    230,805.20x = 345,948.60 × 97,662.80
  4. Step 4: Simplify right side
    230,805.20x = 33,786,308,932.08
  5. Step 5: Solve for x
    x = 33,786,308,932.08/230,805.20
  6. Step 6: Final answer
    x = 146,384.52

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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.