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Finding the Fourth Proportional to 171,796.80, 257,749.20 and 83,053.20

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Solution

The fourth proportional to 171,796.80, 257,749.20 and 83,053.20 is: 124,605.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,796.80 : 257,749.20 = 83,053.20 : x
  2. Step 2: Convert to fraction form
    171,796.80/257,749.20 = 83,053.20/x
  3. Step 3: Cross multiply
    171,796.80x = 257,749.20 × 83,053.20
  4. Step 4: Simplify right side
    171,796.80x = 21,406,895,857.44
  5. Step 5: Solve for x
    x = 21,406,895,857.44/171,796.80
  6. Step 6: Final answer
    x = 124,605.91

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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.