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Finding the Fourth Proportional to 117,311.25, 161,710.38 and 71,905.08

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Solution

The fourth proportional to 117,311.25, 161,710.38 and 71,905.08 is: 99,119.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,311.25 : 161,710.38 = 71,905.08 : x
  2. Step 2: Convert to fraction form
    117,311.25/161,710.38 = 71,905.08/x
  3. Step 3: Cross multiply
    117,311.25x = 161,710.38 × 71,905.08
  4. Step 4: Simplify right side
    117,311.25x = 11,627,797,810.73
  5. Step 5: Solve for x
    x = 11,627,797,810.73/117,311.25
  6. Step 6: Final answer
    x = 99,119.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.