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Finding the Fourth Proportional to 185,427.15, 277,780.84 and 136,651.88

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Solution

The fourth proportional to 185,427.15, 277,780.84 and 136,651.88 is: 204,712.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,427.15 : 277,780.84 = 136,651.88 : x
  2. Step 2: Convert to fraction form
    185,427.15/277,780.84 = 136,651.88/x
  3. Step 3: Cross multiply
    185,427.15x = 277,780.84 × 136,651.88
  4. Step 4: Simplify right side
    185,427.15x = 37,959,272,795.89
  5. Step 5: Solve for x
    x = 37,959,272,795.89/185,427.15
  6. Step 6: Final answer
    x = 204,712.59

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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.