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Finding the Fourth Proportional to 222,920.34, 307,651.68 and 127,408.86

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Solution

The fourth proportional to 222,920.34, 307,651.68 and 127,408.86 is: 175,836.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,920.34 : 307,651.68 = 127,408.86 : x
  2. Step 2: Convert to fraction form
    222,920.34/307,651.68 = 127,408.86/x
  3. Step 3: Cross multiply
    222,920.34x = 307,651.68 × 127,408.86
  4. Step 4: Simplify right side
    222,920.34x = 39,197,549,825.88
  5. Step 5: Solve for x
    x = 39,197,549,825.88/222,920.34
  6. Step 6: Final answer
    x = 175,836.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.