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Finding the Fourth Proportional to 313,508.24, 470,254.14 and 111,101.40

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Solution

The fourth proportional to 313,508.24, 470,254.14 and 111,101.40 is: 166,649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,508.24 : 470,254.14 = 111,101.40 : x
  2. Step 2: Convert to fraction form
    313,508.24/470,254.14 = 111,101.40/x
  3. Step 3: Cross multiply
    313,508.24x = 470,254.14 × 111,101.40
  4. Step 4: Simplify right side
    313,508.24x = 52,245,893,309.80
  5. Step 5: Solve for x
    x = 52,245,893,309.80/313,508.24
  6. Step 6: Final answer
    x = 166,649.19

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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.