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Finding the Fourth Proportional to 231,568.34, 347,352.50 and 65,356.34

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Solution

The fourth proportional to 231,568.34, 347,352.50 and 65,356.34 is: 98,034.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,568.34 : 347,352.50 = 65,356.34 : x
  2. Step 2: Convert to fraction form
    231,568.34/347,352.50 = 65,356.34/x
  3. Step 3: Cross multiply
    231,568.34x = 347,352.50 × 65,356.34
  4. Step 4: Simplify right side
    231,568.34x = 22,701,688,089.85
  5. Step 5: Solve for x
    x = 22,701,688,089.85/231,568.34
  6. Step 6: Final answer
    x = 98,034.51

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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.