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Finding the Fourth Proportional to 242,175.12, 334,212.48 and 201,821.28

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Solution

The fourth proportional to 242,175.12, 334,212.48 and 201,821.28 is: 278,522.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,175.12 : 334,212.48 = 201,821.28 : x
  2. Step 2: Convert to fraction form
    242,175.12/334,212.48 = 201,821.28/x
  3. Step 3: Cross multiply
    242,175.12x = 334,212.48 × 201,821.28
  4. Step 4: Simplify right side
    242,175.12x = 67,451,190,505.57
  5. Step 5: Solve for x
    x = 67,451,190,505.57/242,175.12
  6. Step 6: Final answer
    x = 278,522.38

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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.