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Finding the Fourth Proportional to 230,226.50, 345,386.61 and 97,107.24

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Solution

The fourth proportional to 230,226.50, 345,386.61 and 97,107.24 is: 145,680.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,226.50 : 345,386.61 = 97,107.24 : x
  2. Step 2: Convert to fraction form
    230,226.50/345,386.61 = 97,107.24/x
  3. Step 3: Cross multiply
    230,226.50x = 345,386.61 × 97,107.24
  4. Step 4: Simplify right side
    230,226.50x = 33,539,540,430.06
  5. Step 5: Solve for x
    x = 33,539,540,430.06/230,226.50
  6. Step 6: Final answer
    x = 145,680.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.