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Finding the Fourth Proportional to 313,855.30, 470,782.96 and 114,182.20

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Solution

The fourth proportional to 313,855.30, 470,782.96 and 114,182.20 is: 171,273.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,855.30 : 470,782.96 = 114,182.20 : x
  2. Step 2: Convert to fraction form
    313,855.30/470,782.96 = 114,182.20/x
  3. Step 3: Cross multiply
    313,855.30x = 470,782.96 × 114,182.20
  4. Step 4: Simplify right side
    313,855.30x = 53,755,034,095.31
  5. Step 5: Solve for x
    x = 53,755,034,095.31/313,855.30
  6. Step 6: Final answer
    x = 171,273.30

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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.