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Finding the Fourth Proportional to 175,806.64, 263,709.96 and 116,757.64

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Solution

The fourth proportional to 175,806.64, 263,709.96 and 116,757.64 is: 175,136.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,806.64 : 263,709.96 = 116,757.64 : x
  2. Step 2: Convert to fraction form
    175,806.64/263,709.96 = 116,757.64/x
  3. Step 3: Cross multiply
    175,806.64x = 263,709.96 × 116,757.64
  4. Step 4: Simplify right side
    175,806.64x = 30,790,152,574.09
  5. Step 5: Solve for x
    x = 30,790,152,574.09/175,806.64
  6. Step 6: Final answer
    x = 175,136.46

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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.