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Finding the Fourth Proportional to 116,107.84, 160,242.24 and 65,816

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Solution

The fourth proportional to 116,107.84, 160,242.24 and 65,816 is: 90,833.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,107.84 : 160,242.24 = 65,816 : x
  2. Step 2: Convert to fraction form
    116,107.84/160,242.24 = 65,816/x
  3. Step 3: Cross multiply
    116,107.84x = 160,242.24 × 65,816
  4. Step 4: Simplify right side
    116,107.84x = 10,546,503,267.84
  5. Step 5: Solve for x
    x = 10,546,503,267.84/116,107.84
  6. Step 6: Final answer
    x = 90,833.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.