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Finding the Fourth Proportional to 313,112.82, 469,725.39 and 146,896.50

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Solution

The fourth proportional to 313,112.82, 469,725.39 and 146,896.50 is: 220,371.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,112.82 : 469,725.39 = 146,896.50 : x
  2. Step 2: Convert to fraction form
    313,112.82/469,725.39 = 146,896.50/x
  3. Step 3: Cross multiply
    313,112.82x = 469,725.39 × 146,896.50
  4. Step 4: Simplify right side
    313,112.82x = 69,001,015,752.14
  5. Step 5: Solve for x
    x = 69,001,015,752.14/313,112.82
  6. Step 6: Final answer
    x = 220,371.10

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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.