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Finding the Fourth Proportional to 105,464.63, 158,213.45 and 34,370.80

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Solution

The fourth proportional to 105,464.63, 158,213.45 and 34,370.80 is: 51,561.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,464.63 : 158,213.45 = 34,370.80 : x
  2. Step 2: Convert to fraction form
    105,464.63/158,213.45 = 34,370.80/x
  3. Step 3: Cross multiply
    105,464.63x = 158,213.45 × 34,370.80
  4. Step 4: Simplify right side
    105,464.63x = 5,437,922,537.65
  5. Step 5: Solve for x
    x = 5,437,922,537.65/105,464.63
  6. Step 6: Final answer
    x = 51,561.57

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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.