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Finding the Fourth Proportional to 270,258.20, 405,070.65 and 110,234.26

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Solution

The fourth proportional to 270,258.20, 405,070.65 and 110,234.26 is: 165,222.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,258.20 : 405,070.65 = 110,234.26 : x
  2. Step 2: Convert to fraction form
    270,258.20/405,070.65 = 110,234.26/x
  3. Step 3: Cross multiply
    270,258.20x = 405,070.65 × 110,234.26
  4. Step 4: Simplify right side
    270,258.20x = 44,652,663,350.47
  5. Step 5: Solve for x
    x = 44,652,663,350.47/270,258.20
  6. Step 6: Final answer
    x = 165,222.23

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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.