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Finding the Fourth Proportional to 116,140.53, 174,093.12 and 78,704.40

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Solution

The fourth proportional to 116,140.53, 174,093.12 and 78,704.40 is: 117,976.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,140.53 : 174,093.12 = 78,704.40 : x
  2. Step 2: Convert to fraction form
    116,140.53/174,093.12 = 78,704.40/x
  3. Step 3: Cross multiply
    116,140.53x = 174,093.12 × 78,704.40
  4. Step 4: Simplify right side
    116,140.53x = 13,701,894,553.73
  5. Step 5: Solve for x
    x = 13,701,894,553.73/116,140.53
  6. Step 6: Final answer
    x = 117,976.86

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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.