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Finding the Fourth Proportional to 236,189.56, 354,207.30 and 78,375.64

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Solution

The fourth proportional to 236,189.56, 354,207.30 and 78,375.64 is: 117,537.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,189.56 : 354,207.30 = 78,375.64 : x
  2. Step 2: Convert to fraction form
    236,189.56/354,207.30 = 78,375.64/x
  3. Step 3: Cross multiply
    236,189.56x = 354,207.30 × 78,375.64
  4. Step 4: Simplify right side
    236,189.56x = 27,761,223,830.17
  5. Step 5: Solve for x
    x = 27,761,223,830.17/236,189.56
  6. Step 6: Final answer
    x = 117,537.90

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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.