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Finding the Fourth Proportional to 234,223.68, 351,354.96 and 76,448.64

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Solution

The fourth proportional to 234,223.68, 351,354.96 and 76,448.64 is: 114,679.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,223.68 : 351,354.96 = 76,448.64 : x
  2. Step 2: Convert to fraction form
    234,223.68/351,354.96 = 76,448.64/x
  3. Step 3: Cross multiply
    234,223.68x = 351,354.96 × 76,448.64
  4. Step 4: Simplify right side
    234,223.68x = 26,860,608,849.25
  5. Step 5: Solve for x
    x = 26,860,608,849.25/234,223.68
  6. Step 6: Final answer
    x = 114,679.31

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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.