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Finding the Fourth Proportional to 116,235.80, 160,213.72 and 82,200.32

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Solution

The fourth proportional to 116,235.80, 160,213.72 and 82,200.32 is: 113,300.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,235.80 : 160,213.72 = 82,200.32 : x
  2. Step 2: Convert to fraction form
    116,235.80/160,213.72 = 82,200.32/x
  3. Step 3: Cross multiply
    116,235.80x = 160,213.72 × 82,200.32
  4. Step 4: Simplify right side
    116,235.80x = 13,169,619,052.39
  5. Step 5: Solve for x
    x = 13,169,619,052.39/116,235.80
  6. Step 6: Final answer
    x = 113,300.89

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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.