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Finding the Fourth Proportional to 189,900.48, 261,958.50 and 121,841.46

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Solution

The fourth proportional to 189,900.48, 261,958.50 and 121,841.46 is: 168,074.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,900.48 : 261,958.50 = 121,841.46 : x
  2. Step 2: Convert to fraction form
    189,900.48/261,958.50 = 121,841.46/x
  3. Step 3: Cross multiply
    189,900.48x = 261,958.50 × 121,841.46
  4. Step 4: Simplify right side
    189,900.48x = 31,917,406,099.41
  5. Step 5: Solve for x
    x = 31,917,406,099.41/189,900.48
  6. Step 6: Final answer
    x = 168,074.38

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Why These Related Problems?

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