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Finding the Fourth Proportional to 116,524.72, 160,830.66 and 82,497.84

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Solution

The fourth proportional to 116,524.72, 160,830.66 and 82,497.84 is: 113,865.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,524.72 : 160,830.66 = 82,497.84 : x
  2. Step 2: Convert to fraction form
    116,524.72/160,830.66 = 82,497.84/x
  3. Step 3: Cross multiply
    116,524.72x = 160,830.66 × 82,497.84
  4. Step 4: Simplify right side
    116,524.72x = 13,268,182,055.77
  5. Step 5: Solve for x
    x = 13,268,182,055.77/116,524.72
  6. Step 6: Final answer
    x = 113,865.81

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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.