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Finding the Fourth Proportional to 116,713.20, 174,868.20 and 54,255.60

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Solution

The fourth proportional to 116,713.20, 174,868.20 and 54,255.60 is: 81,289.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,713.20 : 174,868.20 = 54,255.60 : x
  2. Step 2: Convert to fraction form
    116,713.20/174,868.20 = 54,255.60/x
  3. Step 3: Cross multiply
    116,713.20x = 174,868.20 × 54,255.60
  4. Step 4: Simplify right side
    116,713.20x = 9,487,579,111.92
  5. Step 5: Solve for x
    x = 9,487,579,111.92/116,713.20
  6. Step 6: Final answer
    x = 81,289.68

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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.