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Finding the Fourth Proportional to 136,188.78, 204,284.60 and 41,434.39

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Solution

The fourth proportional to 136,188.78, 204,284.60 and 41,434.39 is: 62,152.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,188.78 : 204,284.60 = 41,434.39 : x
  2. Step 2: Convert to fraction form
    136,188.78/204,284.60 = 41,434.39/x
  3. Step 3: Cross multiply
    136,188.78x = 204,284.60 × 41,434.39
  4. Step 4: Simplify right side
    136,188.78x = 8,464,407,787.39
  5. Step 5: Solve for x
    x = 8,464,407,787.39/136,188.78
  6. Step 6: Final answer
    x = 62,152.02

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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.