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Finding the Fourth Proportional to 468,666, 703,118.88 and 136,242

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Solution

The fourth proportional to 468,666, 703,118.88 and 136,242 is: 204,397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,666 : 703,118.88 = 136,242 : x
  2. Step 2: Convert to fraction form
    468,666/703,118.88 = 136,242/x
  3. Step 3: Cross multiply
    468,666x = 703,118.88 × 136,242
  4. Step 4: Simplify right side
    468,666x = 95,794,322,448.96
  5. Step 5: Solve for x
    x = 95,794,322,448.96/468,666
  6. Step 6: Final answer
    x = 204,397.85

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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.