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Finding the Fourth Proportional to 313,761.26, 470,835.05 and 124,189.35

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Solution

The fourth proportional to 313,761.26, 470,835.05 and 124,189.35 is: 186,360.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,761.26 : 470,835.05 = 124,189.35 : x
  2. Step 2: Convert to fraction form
    313,761.26/470,835.05 = 124,189.35/x
  3. Step 3: Cross multiply
    313,761.26x = 470,835.05 × 124,189.35
  4. Step 4: Simplify right side
    313,761.26x = 58,472,698,195.77
  5. Step 5: Solve for x
    x = 58,472,698,195.77/313,761.26
  6. Step 6: Final answer
    x = 186,360.48

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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.