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Finding the Fourth Proportional to 136,575.42, 204,853.56 and 36,733.40

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Solution

The fourth proportional to 136,575.42, 204,853.56 and 36,733.40 is: 55,097.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,575.42 : 204,853.56 = 36,733.40 : x
  2. Step 2: Convert to fraction form
    136,575.42/204,853.56 = 36,733.40/x
  3. Step 3: Cross multiply
    136,575.42x = 204,853.56 × 36,733.40
  4. Step 4: Simplify right side
    136,575.42x = 7,524,967,367.09
  5. Step 5: Solve for x
    x = 7,524,967,367.09/136,575.42
  6. Step 6: Final answer
    x = 55,097.52

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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.