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Finding the Fourth Proportional to 313,677.29, 470,251.41 and 136,050.50

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Solution

The fourth proportional to 313,677.29, 470,251.41 and 136,050.50 is: 203,961.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,677.29 : 470,251.41 = 136,050.50 : x
  2. Step 2: Convert to fraction form
    313,677.29/470,251.41 = 136,050.50/x
  3. Step 3: Cross multiply
    313,677.29x = 470,251.41 × 136,050.50
  4. Step 4: Simplify right side
    313,677.29x = 63,977,939,456.21
  5. Step 5: Solve for x
    x = 63,977,939,456.21/313,677.29
  6. Step 6: Final answer
    x = 203,961.02

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