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Finding the Fourth Proportional to 173,878.08, 260,808.12 and 49,219.44

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Solution

The fourth proportional to 173,878.08, 260,808.12 and 49,219.44 is: 73,826.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,878.08 : 260,808.12 = 49,219.44 : x
  2. Step 2: Convert to fraction form
    173,878.08/260,808.12 = 49,219.44/x
  3. Step 3: Cross multiply
    173,878.08x = 260,808.12 × 49,219.44
  4. Step 4: Simplify right side
    173,878.08x = 12,836,829,613.85
  5. Step 5: Solve for x
    x = 12,836,829,613.85/173,878.08
  6. Step 6: Final answer
    x = 73,826.61

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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.