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Finding the Fourth Proportional to 136,653.89, 188,582.64 and 76,222.97

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Solution

The fourth proportional to 136,653.89, 188,582.64 and 76,222.97 is: 105,187.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,653.89 : 188,582.64 = 76,222.97 : x
  2. Step 2: Convert to fraction form
    136,653.89/188,582.64 = 76,222.97/x
  3. Step 3: Cross multiply
    136,653.89x = 188,582.64 × 76,222.97
  4. Step 4: Simplify right side
    136,653.89x = 14,374,327,968.33
  5. Step 5: Solve for x
    x = 14,374,327,968.33/136,653.89
  6. Step 6: Final answer
    x = 105,187.85

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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.