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Finding the Fourth Proportional to 116,706.69, 174,797.46 and 81,802.17

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Solution

The fourth proportional to 116,706.69, 174,797.46 and 81,802.17 is: 122,519.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,706.69 : 174,797.46 = 81,802.17 : x
  2. Step 2: Convert to fraction form
    116,706.69/174,797.46 = 81,802.17/x
  3. Step 3: Cross multiply
    116,706.69x = 174,797.46 × 81,802.17
  4. Step 4: Simplify right side
    116,706.69x = 14,298,811,538.49
  5. Step 5: Solve for x
    x = 14,298,811,538.49/116,706.69
  6. Step 6: Final answer
    x = 122,519.21

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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.