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Finding the Fourth Proportional to 189,178.41, 260,918.58 and 121,201.71

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Solution

The fourth proportional to 189,178.41, 260,918.58 and 121,201.71 is: 167,163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,178.41 : 260,918.58 = 121,201.71 : x
  2. Step 2: Convert to fraction form
    189,178.41/260,918.58 = 121,201.71/x
  3. Step 3: Cross multiply
    189,178.41x = 260,918.58 × 121,201.71
  4. Step 4: Simplify right side
    189,178.41x = 31,623,778,066.77
  5. Step 5: Solve for x
    x = 31,623,778,066.77/189,178.41
  6. Step 6: Final answer
    x = 167,163.78

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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.