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Finding the Fourth Proportional to 116,799, 161,182.86 and 66,498

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Solution

The fourth proportional to 116,799, 161,182.86 and 66,498 is: 91,767.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,799 : 161,182.86 = 66,498 : x
  2. Step 2: Convert to fraction form
    116,799/161,182.86 = 66,498/x
  3. Step 3: Cross multiply
    116,799x = 161,182.86 × 66,498
  4. Step 4: Simplify right side
    116,799x = 10,718,337,824.28
  5. Step 5: Solve for x
    x = 10,718,337,824.28/116,799
  6. Step 6: Final answer
    x = 91,767.38

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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.