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Finding the Fourth Proportional to 175,667, 263,533.80 and 70,494.26

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Solution

The fourth proportional to 175,667, 263,533.80 and 70,494.26 is: 105,754.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,667 : 263,533.80 = 70,494.26 : x
  2. Step 2: Convert to fraction form
    175,667/263,533.80 = 70,494.26/x
  3. Step 3: Cross multiply
    175,667x = 263,533.80 × 70,494.26
  4. Step 4: Simplify right side
    175,667x = 18,577,620,215.99
  5. Step 5: Solve for x
    x = 18,577,620,215.99/175,667
  6. Step 6: Final answer
    x = 105,754.75

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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.