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Finding the Fourth Proportional to 234,142.75, 351,201.80 and 65,674.72

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Solution

The fourth proportional to 234,142.75, 351,201.80 and 65,674.72 is: 98,508.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,142.75 : 351,201.80 = 65,674.72 : x
  2. Step 2: Convert to fraction form
    234,142.75/351,201.80 = 65,674.72/x
  3. Step 3: Cross multiply
    234,142.75x = 351,201.80 × 65,674.72
  4. Step 4: Simplify right side
    234,142.75x = 23,065,079,550.12
  5. Step 5: Solve for x
    x = 23,065,079,550.12/234,142.75
  6. Step 6: Final answer
    x = 98,508.62

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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.