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Finding the Fourth Proportional to 116,800, 161,184.72 and 63,808

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Solution

The fourth proportional to 116,800, 161,184.72 and 63,808 is: 88,055.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,800 : 161,184.72 = 63,808 : x
  2. Step 2: Convert to fraction form
    116,800/161,184.72 = 63,808/x
  3. Step 3: Cross multiply
    116,800x = 161,184.72 × 63,808
  4. Step 4: Simplify right side
    116,800x = 10,284,874,613.76
  5. Step 5: Solve for x
    x = 10,284,874,613.76/116,800
  6. Step 6: Final answer
    x = 88,055.43

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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.