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Finding the Fourth Proportional to 106,367.12, 146,779.98 and 58,620.81

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Solution

The fourth proportional to 106,367.12, 146,779.98 and 58,620.81 is: 80,893.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,367.12 : 146,779.98 = 58,620.81 : x
  2. Step 2: Convert to fraction form
    106,367.12/146,779.98 = 58,620.81/x
  3. Step 3: Cross multiply
    106,367.12x = 146,779.98 × 58,620.81
  4. Step 4: Simplify right side
    106,367.12x = 8,604,361,319.38
  5. Step 5: Solve for x
    x = 8,604,361,319.38/106,367.12
  6. Step 6: Final answer
    x = 80,893.06

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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.