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Finding the Fourth Proportional to 189,175.68, 260,914.76 and 121,198.95

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Solution

The fourth proportional to 189,175.68, 260,914.76 and 121,198.95 is: 167,159.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,175.68 : 260,914.76 = 121,198.95 : x
  2. Step 2: Convert to fraction form
    189,175.68/260,914.76 = 121,198.95/x
  3. Step 3: Cross multiply
    189,175.68x = 260,914.76 × 121,198.95
  4. Step 4: Simplify right side
    189,175.68x = 31,622,594,951.50
  5. Step 5: Solve for x
    x = 31,622,594,951.50/189,175.68
  6. Step 6: Final answer
    x = 167,159.94

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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.