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Finding the Fourth Proportional to 136,921.64, 188,949.77 and 76,493.16

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Solution

The fourth proportional to 136,921.64, 188,949.77 and 76,493.16 is: 105,559.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,921.64 : 188,949.77 = 76,493.16 : x
  2. Step 2: Convert to fraction form
    136,921.64/188,949.77 = 76,493.16/x
  3. Step 3: Cross multiply
    136,921.64x = 188,949.77 × 76,493.16
  4. Step 4: Simplify right side
    136,921.64x = 14,453,364,988.57
  5. Step 5: Solve for x
    x = 14,453,364,988.57/136,921.64
  6. Step 6: Final answer
    x = 105,559.39

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