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Finding the Fourth Proportional to 222,292.39, 306,763.46 and 120,317.83

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Solution

The fourth proportional to 222,292.39, 306,763.46 and 120,317.83 is: 166,038.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,292.39 : 306,763.46 = 120,317.83 : x
  2. Step 2: Convert to fraction form
    222,292.39/306,763.46 = 120,317.83/x
  3. Step 3: Cross multiply
    222,292.39x = 306,763.46 × 120,317.83
  4. Step 4: Simplify right side
    222,292.39x = 36,909,113,830.49
  5. Step 5: Solve for x
    x = 36,909,113,830.49/222,292.39
  6. Step 6: Final answer
    x = 166,038.58

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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.