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Finding the Fourth Proportional to 313,677.41, 470,251.61 and 136,050.63

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Solution

The fourth proportional to 313,677.41, 470,251.61 and 136,050.63 is: 203,961.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,677.41 : 470,251.61 = 136,050.63 : x
  2. Step 2: Convert to fraction form
    313,677.41/470,251.61 = 136,050.63/x
  3. Step 3: Cross multiply
    313,677.41x = 470,251.61 × 136,050.63
  4. Step 4: Simplify right side
    313,677.41x = 63,978,028,294.39
  5. Step 5: Solve for x
    x = 63,978,028,294.39/313,677.41
  6. Step 6: Final answer
    x = 203,961.23

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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.