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Finding the Fourth Proportional to 105,858.52, 158,764.74 and 53,212.12

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Solution

The fourth proportional to 105,858.52, 158,764.74 and 53,212.12 is: 79,806.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,858.52 : 158,764.74 = 53,212.12 : x
  2. Step 2: Convert to fraction form
    105,858.52/158,764.74 = 53,212.12/x
  3. Step 3: Cross multiply
    105,858.52x = 158,764.74 × 53,212.12
  4. Step 4: Simplify right side
    105,858.52x = 8,448,208,396.65
  5. Step 5: Solve for x
    x = 8,448,208,396.65/105,858.52
  6. Step 6: Final answer
    x = 79,806.60

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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.