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Finding the Fourth Proportional to 136,257, 204,397.02 and 37,761

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Solution

The fourth proportional to 136,257, 204,397.02 and 37,761 is: 56,644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,257 : 204,397.02 = 37,761 : x
  2. Step 2: Convert to fraction form
    136,257/204,397.02 = 37,761/x
  3. Step 3: Cross multiply
    136,257x = 204,397.02 × 37,761
  4. Step 4: Simplify right side
    136,257x = 7,718,235,872.22
  5. Step 5: Solve for x
    x = 7,718,235,872.22/136,257
  6. Step 6: Final answer
    x = 56,644.69

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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.