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Finding the Fourth Proportional to 116,192, 160,344.96 and 63,200

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Solution

The fourth proportional to 116,192, 160,344.96 and 63,200 is: 87,216

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,192 : 160,344.96 = 63,200 : x
  2. Step 2: Convert to fraction form
    116,192/160,344.96 = 63,200/x
  3. Step 3: Cross multiply
    116,192x = 160,344.96 × 63,200
  4. Step 4: Simplify right side
    116,192x = 10,133,801,472
  5. Step 5: Solve for x
    x = 10,133,801,472/116,192
  6. Step 6: Final answer
    x = 87,216

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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.