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Finding the Fourth Proportional to 171,463.82, 257,101.77 and 53,102.30

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Solution

The fourth proportional to 171,463.82, 257,101.77 and 53,102.30 is: 79,624.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,463.82 : 257,101.77 = 53,102.30 : x
  2. Step 2: Convert to fraction form
    171,463.82/257,101.77 = 53,102.30/x
  3. Step 3: Cross multiply
    171,463.82x = 257,101.77 × 53,102.30
  4. Step 4: Simplify right side
    171,463.82x = 13,652,695,321.07
  5. Step 5: Solve for x
    x = 13,652,695,321.07/171,463.82
  6. Step 6: Final answer
    x = 79,624.35

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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.