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Finding the Fourth Proportional to 114,861.54, 172,218.40 and 54,857.54

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Solution

The fourth proportional to 114,861.54, 172,218.40 and 54,857.54 is: 82,251.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,861.54 : 172,218.40 = 54,857.54 : x
  2. Step 2: Convert to fraction form
    114,861.54/172,218.40 = 54,857.54/x
  3. Step 3: Cross multiply
    114,861.54x = 172,218.40 × 54,857.54
  4. Step 4: Simplify right side
    114,861.54x = 9,447,477,766.74
  5. Step 5: Solve for x
    x = 9,447,477,766.74/114,861.54
  6. Step 6: Final answer
    x = 82,251.01

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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.