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Finding the Fourth Proportional to 233,056.20, 349,847.10 and 154,324.20

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Solution

The fourth proportional to 233,056.20, 349,847.10 and 154,324.20 is: 231,660.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,056.20 : 349,847.10 = 154,324.20 : x
  2. Step 2: Convert to fraction form
    233,056.20/349,847.10 = 154,324.20/x
  3. Step 3: Cross multiply
    233,056.20x = 349,847.10 × 154,324.20
  4. Step 4: Simplify right side
    233,056.20x = 53,989,873,829.82
  5. Step 5: Solve for x
    x = 53,989,873,829.82/233,056.20
  6. Step 6: Final answer
    x = 231,660.32

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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.