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Finding the Fourth Proportional to 242,801.40, 335,059.38 and 140,820.42

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Solution

The fourth proportional to 242,801.40, 335,059.38 and 140,820.42 is: 194,328.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,801.40 : 335,059.38 = 140,820.42 : x
  2. Step 2: Convert to fraction form
    242,801.40/335,059.38 = 140,820.42/x
  3. Step 3: Cross multiply
    242,801.40x = 335,059.38 × 140,820.42
  4. Step 4: Simplify right side
    242,801.40x = 47,183,202,616.54
  5. Step 5: Solve for x
    x = 47,183,202,616.54/242,801.40
  6. Step 6: Final answer
    x = 194,328.38

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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.