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Finding the Fourth Proportional to 113,825.80, 170,738.70 and 102,550.60

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Solution

The fourth proportional to 113,825.80, 170,738.70 and 102,550.60 is: 153,825.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,825.80 : 170,738.70 = 102,550.60 : x
  2. Step 2: Convert to fraction form
    113,825.80/170,738.70 = 102,550.60/x
  3. Step 3: Cross multiply
    113,825.80x = 170,738.70 × 102,550.60
  4. Step 4: Simplify right side
    113,825.80x = 17,509,356,128.22
  5. Step 5: Solve for x
    x = 17,509,356,128.22/113,825.80
  6. Step 6: Final answer
    x = 153,825.90

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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.