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Finding the Fourth Proportional to 181,203.40, 271,805.10 and 167,206.60

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Solution

The fourth proportional to 181,203.40, 271,805.10 and 167,206.60 is: 250,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,203.40 : 271,805.10 = 167,206.60 : x
  2. Step 2: Convert to fraction form
    181,203.40/271,805.10 = 167,206.60/x
  3. Step 3: Cross multiply
    181,203.40x = 271,805.10 × 167,206.60
  4. Step 4: Simplify right side
    181,203.40x = 45,447,606,633.66
  5. Step 5: Solve for x
    x = 45,447,606,633.66/181,203.40
  6. Step 6: Final answer
    x = 250,809.90

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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.