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Finding the Fourth Proportional to 206,867.33, 285,459.39 and 116,216.18

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Solution

The fourth proportional to 206,867.33, 285,459.39 and 116,216.18 is: 160,368.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,867.33 : 285,459.39 = 116,216.18 : x
  2. Step 2: Convert to fraction form
    206,867.33/285,459.39 = 116,216.18/x
  3. Step 3: Cross multiply
    206,867.33x = 285,459.39 × 116,216.18
  4. Step 4: Simplify right side
    206,867.33x = 33,174,998,423.63
  5. Step 5: Solve for x
    x = 33,174,998,423.63/206,867.33
  6. Step 6: Final answer
    x = 160,368.48

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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.