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Finding the Fourth Proportional to 116,406, 160,640.28 and 63,414

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Solution

The fourth proportional to 116,406, 160,640.28 and 63,414 is: 87,511.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,406 : 160,640.28 = 63,414 : x
  2. Step 2: Convert to fraction form
    116,406/160,640.28 = 63,414/x
  3. Step 3: Cross multiply
    116,406x = 160,640.28 × 63,414
  4. Step 4: Simplify right side
    116,406x = 10,186,842,715.92
  5. Step 5: Solve for x
    x = 10,186,842,715.92/116,406
  6. Step 6: Final answer
    x = 87,511.32

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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.