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Finding the Fourth Proportional to 230,068.87, 345,149.96 and 96,949.06

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Solution

The fourth proportional to 230,068.87, 345,149.96 and 96,949.06 is: 145,443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,068.87 : 345,149.96 = 96,949.06 : x
  2. Step 2: Convert to fraction form
    230,068.87/345,149.96 = 96,949.06/x
  3. Step 3: Cross multiply
    230,068.87x = 345,149.96 × 96,949.06
  4. Step 4: Simplify right side
    230,068.87x = 33,461,964,181.04
  5. Step 5: Solve for x
    x = 33,461,964,181.04/230,068.87
  6. Step 6: Final answer
    x = 145,443.25

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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.