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Finding the Fourth Proportional to 111,000.34, 153,198.56 and 82,509.20

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Solution

The fourth proportional to 111,000.34, 153,198.56 and 82,509.20 is: 113,876.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,000.34 : 153,198.56 = 82,509.20 : x
  2. Step 2: Convert to fraction form
    111,000.34/153,198.56 = 82,509.20/x
  3. Step 3: Cross multiply
    111,000.34x = 153,198.56 × 82,509.20
  4. Step 4: Simplify right side
    111,000.34x = 12,640,290,833.03
  5. Step 5: Solve for x
    x = 12,640,290,833.03/111,000.34
  6. Step 6: Final answer
    x = 113,876.14

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