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Finding the Fourth Proportional to 106,203.25, 146,559.38 and 58,455.57

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Solution

The fourth proportional to 106,203.25, 146,559.38 and 58,455.57 is: 80,668.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,203.25 : 146,559.38 = 58,455.57 : x
  2. Step 2: Convert to fraction form
    106,203.25/146,559.38 = 58,455.57/x
  3. Step 3: Cross multiply
    106,203.25x = 146,559.38 × 58,455.57
  4. Step 4: Simplify right side
    106,203.25x = 8,567,212,354.07
  5. Step 5: Solve for x
    x = 8,567,212,354.07/106,203.25
  6. Step 6: Final answer
    x = 80,668.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.