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Finding the Fourth Proportional to 135,756.74, 203,662.44 and 47,008.28

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Solution

The fourth proportional to 135,756.74, 203,662.44 and 47,008.28 is: 70,521.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,756.74 : 203,662.44 = 47,008.28 : x
  2. Step 2: Convert to fraction form
    135,756.74/203,662.44 = 47,008.28/x
  3. Step 3: Cross multiply
    135,756.74x = 203,662.44 × 47,008.28
  4. Step 4: Simplify right side
    135,756.74x = 9,573,819,986.69
  5. Step 5: Solve for x
    x = 9,573,819,986.69/135,756.74
  6. Step 6: Final answer
    x = 70,521.88

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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.