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Finding the Fourth Proportional to 116,470.38, 160,718.00 and 68,083.64

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Solution

The fourth proportional to 116,470.38, 160,718.00 and 68,083.64 is: 93,948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,470.38 : 160,718.00 = 68,083.64 : x
  2. Step 2: Convert to fraction form
    116,470.38/160,718.00 = 68,083.64/x
  3. Step 3: Cross multiply
    116,470.38x = 160,718.00 × 68,083.64
  4. Step 4: Simplify right side
    116,470.38x = 10,942,265,309.51
  5. Step 5: Solve for x
    x = 10,942,265,309.51/116,470.38
  6. Step 6: Final answer
    x = 93,948.91

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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.