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Finding the Fourth Proportional to 110,823.90, 166,235.85 and 100,110.30

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Solution

The fourth proportional to 110,823.90, 166,235.85 and 100,110.30 is: 150,165.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,823.90 : 166,235.85 = 100,110.30 : x
  2. Step 2: Convert to fraction form
    110,823.90/166,235.85 = 100,110.30/x
  3. Step 3: Cross multiply
    110,823.90x = 166,235.85 × 100,110.30
  4. Step 4: Simplify right side
    110,823.90x = 16,641,920,814.26
  5. Step 5: Solve for x
    x = 16,641,920,814.26/110,823.90
  6. Step 6: Final answer
    x = 150,165.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.