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Finding the Fourth Proportional to 173,857.64, 260,823.90 and 53,912.16

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Solution

The fourth proportional to 173,857.64, 260,823.90 and 53,912.16 is: 80,879.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,857.64 : 260,823.90 = 53,912.16 : x
  2. Step 2: Convert to fraction form
    173,857.64/260,823.90 = 53,912.16/x
  3. Step 3: Cross multiply
    173,857.64x = 260,823.90 × 53,912.16
  4. Step 4: Simplify right side
    173,857.64x = 14,061,579,828.62
  5. Step 5: Solve for x
    x = 14,061,579,828.62/173,857.64
  6. Step 6: Final answer
    x = 80,879.85

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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.