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Finding the Fourth Proportional to 116,496.77, 174,920.12 and 66,633.17

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Solution

The fourth proportional to 116,496.77, 174,920.12 and 66,633.17 is: 100,049.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,496.77 : 174,920.12 = 66,633.17 : x
  2. Step 2: Convert to fraction form
    116,496.77/174,920.12 = 66,633.17/x
  3. Step 3: Cross multiply
    116,496.77x = 174,920.12 × 66,633.17
  4. Step 4: Simplify right side
    116,496.77x = 11,655,482,696.26
  5. Step 5: Solve for x
    x = 11,655,482,696.26/116,496.77
  6. Step 6: Final answer
    x = 100,049.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.