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Finding the Fourth Proportional to 275,283.36, 412,929.09 and 106,813.08

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Solution

The fourth proportional to 275,283.36, 412,929.09 and 106,813.08 is: 160,221.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,283.36 : 412,929.09 = 106,813.08 : x
  2. Step 2: Convert to fraction form
    275,283.36/412,929.09 = 106,813.08/x
  3. Step 3: Cross multiply
    275,283.36x = 412,929.09 × 106,813.08
  4. Step 4: Simplify right side
    275,283.36x = 44,106,227,924.50
  5. Step 5: Solve for x
    x = 44,106,227,924.50/275,283.36
  6. Step 6: Final answer
    x = 160,221.19

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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.