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Finding the Fourth Proportional to 231,563.90, 347,297.24 and 65,313.02

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Solution

The fourth proportional to 231,563.90, 347,297.24 and 65,313.02 is: 97,955.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,563.90 : 347,297.24 = 65,313.02 : x
  2. Step 2: Convert to fraction form
    231,563.90/347,297.24 = 65,313.02/x
  3. Step 3: Cross multiply
    231,563.90x = 347,297.24 × 65,313.02
  4. Step 4: Simplify right side
    231,563.90x = 22,683,031,582.06
  5. Step 5: Solve for x
    x = 22,683,031,582.06/231,563.90
  6. Step 6: Final answer
    x = 97,955.82

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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.