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Finding the Fourth Proportional to 186,824, 280,352.64 and 76,016

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Solution

The fourth proportional to 186,824, 280,352.64 and 76,016 is: 114,071.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,824 : 280,352.64 = 76,016 : x
  2. Step 2: Convert to fraction form
    186,824/280,352.64 = 76,016/x
  3. Step 3: Cross multiply
    186,824x = 280,352.64 × 76,016
  4. Step 4: Simplify right side
    186,824x = 21,311,286,282.24
  5. Step 5: Solve for x
    x = 21,311,286,282.24/186,824
  6. Step 6: Final answer
    x = 114,071.46

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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.