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Finding the Fourth Proportional to 106,203.63, 146,559.90 and 58,455.96

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Solution

The fourth proportional to 106,203.63, 146,559.90 and 58,455.96 is: 80,668.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,203.63 : 146,559.90 = 58,455.96 : x
  2. Step 2: Convert to fraction form
    106,203.63/146,559.90 = 58,455.96/x
  3. Step 3: Cross multiply
    106,203.63x = 146,559.90 × 58,455.96
  4. Step 4: Simplify right side
    106,203.63x = 8,567,299,652.00
  5. Step 5: Solve for x
    x = 8,567,299,652.00/106,203.63
  6. Step 6: Final answer
    x = 80,668.61

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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.