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Finding the Fourth Proportional to 136,164.54, 187,892.67 and 75,725.46

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Solution

The fourth proportional to 136,164.54, 187,892.67 and 75,725.46 is: 104,493.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,164.54 : 187,892.67 = 75,725.46 : x
  2. Step 2: Convert to fraction form
    136,164.54/187,892.67 = 75,725.46/x
  3. Step 3: Cross multiply
    136,164.54x = 187,892.67 × 75,725.46
  4. Step 4: Simplify right side
    136,164.54x = 14,228,258,866.38
  5. Step 5: Solve for x
    x = 14,228,258,866.38/136,164.54
  6. Step 6: Final answer
    x = 104,493.13

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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.