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Finding the Fourth Proportional to 185,198.58, 278,166.90 and 174,753.84

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Solution

The fourth proportional to 185,198.58, 278,166.90 and 174,753.84 is: 262,478.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,198.58 : 278,166.90 = 174,753.84 : x
  2. Step 2: Convert to fraction form
    185,198.58/278,166.90 = 174,753.84/x
  3. Step 3: Cross multiply
    185,198.58x = 278,166.90 × 174,753.84
  4. Step 4: Simplify right side
    185,198.58x = 48,610,733,935.90
  5. Step 5: Solve for x
    x = 48,610,733,935.90/185,198.58
  6. Step 6: Final answer
    x = 262,478.98

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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.