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Finding the Fourth Proportional to 136,534.96, 188,412.24 and 76,112.24

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Solution

The fourth proportional to 136,534.96, 188,412.24 and 76,112.24 is: 105,031.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,534.96 : 188,412.24 = 76,112.24 : x
  2. Step 2: Convert to fraction form
    136,534.96/188,412.24 = 76,112.24/x
  3. Step 3: Cross multiply
    136,534.96x = 188,412.24 × 76,112.24
  4. Step 4: Simplify right side
    136,534.96x = 14,340,477,629.82
  5. Step 5: Solve for x
    x = 14,340,477,629.82/136,534.96
  6. Step 6: Final answer
    x = 105,031.54

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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.