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Finding the Fourth Proportional to 209,983.44, 289,770.84 and 114,492

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Solution

The fourth proportional to 209,983.44, 289,770.84 and 114,492 is: 157,995.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,983.44 : 289,770.84 = 114,492 : x
  2. Step 2: Convert to fraction form
    209,983.44/289,770.84 = 114,492/x
  3. Step 3: Cross multiply
    209,983.44x = 289,770.84 × 114,492
  4. Step 4: Simplify right side
    209,983.44x = 33,176,443,013.28
  5. Step 5: Solve for x
    x = 33,176,443,013.28/209,983.44
  6. Step 6: Final answer
    x = 157,995.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.