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Finding the Fourth Proportional to 136,365, 188,200.98 and 76,760.52

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Solution

The fourth proportional to 136,365, 188,200.98 and 76,760.52 is: 105,939.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,365 : 188,200.98 = 76,760.52 : x
  2. Step 2: Convert to fraction form
    136,365/188,200.98 = 76,760.52/x
  3. Step 3: Cross multiply
    136,365x = 188,200.98 × 76,760.52
  4. Step 4: Simplify right side
    136,365x = 14,446,405,089.31
  5. Step 5: Solve for x
    x = 14,446,405,089.31/136,365
  6. Step 6: Final answer
    x = 105,939.24

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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.