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Finding the Fourth Proportional to 313,400.40, 470,103.30 and 88,765.80

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Solution

The fourth proportional to 313,400.40, 470,103.30 and 88,765.80 is: 133,149.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,400.40 : 470,103.30 = 88,765.80 : x
  2. Step 2: Convert to fraction form
    313,400.40/470,103.30 = 88,765.80/x
  3. Step 3: Cross multiply
    313,400.40x = 470,103.30 × 88,765.80
  4. Step 4: Simplify right side
    313,400.40x = 41,729,095,507.14
  5. Step 5: Solve for x
    x = 41,729,095,507.14/313,400.40
  6. Step 6: Final answer
    x = 133,149.46

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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.