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Finding the Fourth Proportional to 171,543.28, 257,318.16 and 53,218.48

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Solution

The fourth proportional to 171,543.28, 257,318.16 and 53,218.48 is: 79,828.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,543.28 : 257,318.16 = 53,218.48 : x
  2. Step 2: Convert to fraction form
    171,543.28/257,318.16 = 53,218.48/x
  3. Step 3: Cross multiply
    171,543.28x = 257,318.16 × 53,218.48
  4. Step 4: Simplify right side
    171,543.28x = 13,694,081,351.60
  5. Step 5: Solve for x
    x = 13,694,081,351.60/171,543.28
  6. Step 6: Final answer
    x = 79,828.73

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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.