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Finding the Fourth Proportional to 105,698.50, 158,464.11 and 52,352.71

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Solution

The fourth proportional to 105,698.50, 158,464.11 and 52,352.71 is: 78,487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,698.50 : 158,464.11 = 52,352.71 : x
  2. Step 2: Convert to fraction form
    105,698.50/158,464.11 = 52,352.71/x
  3. Step 3: Cross multiply
    105,698.50x = 158,464.11 × 52,352.71
  4. Step 4: Simplify right side
    105,698.50x = 8,296,025,596.24
  5. Step 5: Solve for x
    x = 8,296,025,596.24/105,698.50
  6. Step 6: Final answer
    x = 78,487.64

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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.