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Finding the Fourth Proportional to 171,900.65, 257,903.76 and 82,058.01

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Solution

The fourth proportional to 171,900.65, 257,903.76 and 82,058.01 is: 123,112.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,900.65 : 257,903.76 = 82,058.01 : x
  2. Step 2: Convert to fraction form
    171,900.65/257,903.76 = 82,058.01/x
  3. Step 3: Cross multiply
    171,900.65x = 257,903.76 × 82,058.01
  4. Step 4: Simplify right side
    171,900.65x = 21,163,069,317.12
  5. Step 5: Solve for x
    x = 21,163,069,317.12/171,900.65
  6. Step 6: Final answer
    x = 123,112.21

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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.