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Finding the Fourth Proportional to 78,833.80, 118,020.30 and 76,529.80

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Solution

The fourth proportional to 78,833.80, 118,020.30 and 76,529.80 is: 114,571.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,833.80 : 118,020.30 = 76,529.80 : x
  2. Step 2: Convert to fraction form
    78,833.80/118,020.30 = 76,529.80/x
  3. Step 3: Cross multiply
    78,833.80x = 118,020.30 × 76,529.80
  4. Step 4: Simplify right side
    78,833.80x = 9,032,069,954.94
  5. Step 5: Solve for x
    x = 9,032,069,954.94/78,833.80
  6. Step 6: Final answer
    x = 114,571.03

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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.