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Finding the Fourth Proportional to 282,093.22, 389,289 and 154,769.32

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Solution

The fourth proportional to 282,093.22, 389,289 and 154,769.32 is: 213,581.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,093.22 : 389,289 = 154,769.32 : x
  2. Step 2: Convert to fraction form
    282,093.22/389,289 = 154,769.32/x
  3. Step 3: Cross multiply
    282,093.22x = 389,289 × 154,769.32
  4. Step 4: Simplify right side
    282,093.22x = 60,249,993,813.48
  5. Step 5: Solve for x
    x = 60,249,993,813.48/282,093.22
  6. Step 6: Final answer
    x = 213,581.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.