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Finding the Fourth Proportional to 171,456.96, 257,081.76 and 115,884.48

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Solution

The fourth proportional to 171,456.96, 257,081.76 and 115,884.48 is: 173,756.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,456.96 : 257,081.76 = 115,884.48 : x
  2. Step 2: Convert to fraction form
    171,456.96/257,081.76 = 115,884.48/x
  3. Step 3: Cross multiply
    171,456.96x = 257,081.76 × 115,884.48
  4. Step 4: Simplify right side
    171,456.96x = 29,791,786,075.08
  5. Step 5: Solve for x
    x = 29,791,786,075.08/171,456.96
  6. Step 6: Final answer
    x = 173,756.64

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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.