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Finding the Fourth Proportional to 156,701.94, 235,069.62 and 50,048.64

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Solution

The fourth proportional to 156,701.94, 235,069.62 and 50,048.64 is: 75,078.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,701.94 : 235,069.62 = 50,048.64 : x
  2. Step 2: Convert to fraction form
    156,701.94/235,069.62 = 50,048.64/x
  3. Step 3: Cross multiply
    156,701.94x = 235,069.62 × 50,048.64
  4. Step 4: Simplify right side
    156,701.94x = 11,764,914,786.32
  5. Step 5: Solve for x
    x = 11,764,914,786.32/156,701.94
  6. Step 6: Final answer
    x = 75,078.30

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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.