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Finding the Fourth Proportional to 161,825.80, 242,738.70 and 105,838.60

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Solution

The fourth proportional to 161,825.80, 242,738.70 and 105,838.60 is: 158,757.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,825.80 : 242,738.70 = 105,838.60 : x
  2. Step 2: Convert to fraction form
    161,825.80/242,738.70 = 105,838.60/x
  3. Step 3: Cross multiply
    161,825.80x = 242,738.70 × 105,838.60
  4. Step 4: Simplify right side
    161,825.80x = 25,691,124,173.82
  5. Step 5: Solve for x
    x = 25,691,124,173.82/161,825.80
  6. Step 6: Final answer
    x = 158,757.90

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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.