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Finding the Fourth Proportional to 185,893.44, 278,839.80 and 52,774.92

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Solution

The fourth proportional to 185,893.44, 278,839.80 and 52,774.92 is: 79,162.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,893.44 : 278,839.80 = 52,774.92 : x
  2. Step 2: Convert to fraction form
    185,893.44/278,839.80 = 52,774.92/x
  3. Step 3: Cross multiply
    185,893.44x = 278,839.80 × 52,774.92
  4. Step 4: Simplify right side
    185,893.44x = 14,715,748,137.82
  5. Step 5: Solve for x
    x = 14,715,748,137.82/185,893.44
  6. Step 6: Final answer
    x = 79,162.28

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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.