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Finding the Fourth Proportional to 116,195.80, 173,856.30 and 76,829.80

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Solution

The fourth proportional to 116,195.80, 173,856.30 and 76,829.80 is: 114,955.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,195.80 : 173,856.30 = 76,829.80 : x
  2. Step 2: Convert to fraction form
    116,195.80/173,856.30 = 76,829.80/x
  3. Step 3: Cross multiply
    116,195.80x = 173,856.30 × 76,829.80
  4. Step 4: Simplify right side
    116,195.80x = 13,357,344,757.74
  5. Step 5: Solve for x
    x = 13,357,344,757.74/116,195.80
  6. Step 6: Final answer
    x = 114,955.49

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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.