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Finding the Fourth Proportional to 136,552.25, 204,686.24 and 76,492.68

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Solution

The fourth proportional to 136,552.25, 204,686.24 and 76,492.68 is: 114,659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,552.25 : 204,686.24 = 76,492.68 : x
  2. Step 2: Convert to fraction form
    136,552.25/204,686.24 = 76,492.68/x
  3. Step 3: Cross multiply
    136,552.25x = 204,686.24 × 76,492.68
  4. Step 4: Simplify right side
    136,552.25x = 15,656,997,906.69
  5. Step 5: Solve for x
    x = 15,656,997,906.69/136,552.25
  6. Step 6: Final answer
    x = 114,659.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.