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Finding the Fourth Proportional to 313,763.11, 470,837.86 and 124,191.23

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Solution

The fourth proportional to 313,763.11, 470,837.86 and 124,191.23 is: 186,363.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,763.11 : 470,837.86 = 124,191.23 : x
  2. Step 2: Convert to fraction form
    313,763.11/470,837.86 = 124,191.23/x
  3. Step 3: Cross multiply
    313,763.11x = 470,837.86 × 124,191.23
  4. Step 4: Simplify right side
    313,763.11x = 58,473,930,299.30
  5. Step 5: Solve for x
    x = 58,473,930,299.30/313,763.11
  6. Step 6: Final answer
    x = 186,363.31

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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.