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Finding the Fourth Proportional to 313,883.13, 470,534.23 and 114,149.89

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Solution

The fourth proportional to 313,883.13, 470,534.23 and 114,149.89 is: 171,119.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,883.13 : 470,534.23 = 114,149.89 : x
  2. Step 2: Convert to fraction form
    313,883.13/470,534.23 = 114,149.89/x
  3. Step 3: Cross multiply
    313,883.13x = 470,534.23 × 114,149.89
  4. Step 4: Simplify right side
    313,883.13x = 53,711,430,595.73
  5. Step 5: Solve for x
    x = 53,711,430,595.73/313,883.13
  6. Step 6: Final answer
    x = 171,119.20

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Why These Related Problems?

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