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Finding the Fourth Proportional to 110,732.10, 166,098.15 and 102,858.90

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Solution

The fourth proportional to 110,732.10, 166,098.15 and 102,858.90 is: 154,288.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,732.10 : 166,098.15 = 102,858.90 : x
  2. Step 2: Convert to fraction form
    110,732.10/166,098.15 = 102,858.90/x
  3. Step 3: Cross multiply
    110,732.10x = 166,098.15 × 102,858.90
  4. Step 4: Simplify right side
    110,732.10x = 17,084,673,001.04
  5. Step 5: Solve for x
    x = 17,084,673,001.04/110,732.10
  6. Step 6: Final answer
    x = 154,288.35

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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.