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Finding the Fourth Proportional to 260,026.20, 390,077.10 and 110,266.20

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Solution

The fourth proportional to 260,026.20, 390,077.10 and 110,266.20 is: 165,415.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,026.20 : 390,077.10 = 110,266.20 : x
  2. Step 2: Convert to fraction form
    260,026.20/390,077.10 = 110,266.20/x
  3. Step 3: Cross multiply
    260,026.20x = 390,077.10 × 110,266.20
  4. Step 4: Simplify right side
    260,026.20x = 43,012,319,524.02
  5. Step 5: Solve for x
    x = 43,012,319,524.02/260,026.20
  6. Step 6: Final answer
    x = 165,415.33

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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.