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Finding the Fourth Proportional to 167,442.56, 250,918.08 and 84,222.08

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Solution

The fourth proportional to 167,442.56, 250,918.08 and 84,222.08 is: 126,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,442.56 : 250,918.08 = 84,222.08 : x
  2. Step 2: Convert to fraction form
    167,442.56/250,918.08 = 84,222.08/x
  3. Step 3: Cross multiply
    167,442.56x = 250,918.08 × 84,222.08
  4. Step 4: Simplify right side
    167,442.56x = 21,132,842,607.21
  5. Step 5: Solve for x
    x = 21,132,842,607.21/167,442.56
  6. Step 6: Final answer
    x = 126,209.50

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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.