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Finding the Fourth Proportional to 116,039.14, 173,836.36 and 78,534.52

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Solution

The fourth proportional to 116,039.14, 173,836.36 and 78,534.52 is: 117,651.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,039.14 : 173,836.36 = 78,534.52 : x
  2. Step 2: Convert to fraction form
    116,039.14/173,836.36 = 78,534.52/x
  3. Step 3: Cross multiply
    116,039.14x = 173,836.36 × 78,534.52
  4. Step 4: Simplify right side
    116,039.14x = 13,652,155,091.15
  5. Step 5: Solve for x
    x = 13,652,155,091.15/116,039.14
  6. Step 6: Final answer
    x = 117,651.29

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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.