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Finding the Fourth Proportional to 198,461.34, 273,725.76 and 137,309.28

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Solution

The fourth proportional to 198,461.34, 273,725.76 and 137,309.28 is: 189,382.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,461.34 : 273,725.76 = 137,309.28 : x
  2. Step 2: Convert to fraction form
    198,461.34/273,725.76 = 137,309.28/x
  3. Step 3: Cross multiply
    198,461.34x = 273,725.76 × 137,309.28
  4. Step 4: Simplify right side
    198,461.34x = 37,585,087,023.05
  5. Step 5: Solve for x
    x = 37,585,087,023.05/198,461.34
  6. Step 6: Final answer
    x = 189,382.41

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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.