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Finding the Fourth Proportional to 189,696.89, 261,903.75 and 121,743.16

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Solution

The fourth proportional to 189,696.89, 261,903.75 and 121,743.16 is: 168,083.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,696.89 : 261,903.75 = 121,743.16 : x
  2. Step 2: Convert to fraction form
    189,696.89/261,903.75 = 121,743.16/x
  3. Step 3: Cross multiply
    189,696.89x = 261,903.75 × 121,743.16
  4. Step 4: Simplify right side
    189,696.89x = 31,884,989,029.55
  5. Step 5: Solve for x
    x = 31,884,989,029.55/189,696.89
  6. Step 6: Final answer
    x = 168,083.88

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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.