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Finding the Fourth Proportional to 231,563.94, 347,297.31 and 65,313.06

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Solution

The fourth proportional to 231,563.94, 347,297.31 and 65,313.06 is: 97,955.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,563.94 : 347,297.31 = 65,313.06 : x
  2. Step 2: Convert to fraction form
    231,563.94/347,297.31 = 65,313.06/x
  3. Step 3: Cross multiply
    231,563.94x = 347,297.31 × 65,313.06
  4. Step 4: Simplify right side
    231,563.94x = 22,683,050,045.87
  5. Step 5: Solve for x
    x = 22,683,050,045.87/231,563.94
  6. Step 6: Final answer
    x = 97,955.88

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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.