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Finding the Fourth Proportional to 222,428, 306,950.64 and 121,829.60

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Solution

The fourth proportional to 222,428, 306,950.64 and 121,829.60 is: 168,124.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,428 : 306,950.64 = 121,829.60 : x
  2. Step 2: Convert to fraction form
    222,428/306,950.64 = 121,829.60/x
  3. Step 3: Cross multiply
    222,428x = 306,950.64 × 121,829.60
  4. Step 4: Simplify right side
    222,428x = 37,395,673,690.94
  5. Step 5: Solve for x
    x = 37,395,673,690.94/222,428
  6. Step 6: Final answer
    x = 168,124.85

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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.