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Finding the Fourth Proportional to 309,708.69, 427,581.23 and 195,085.59

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Solution

The fourth proportional to 309,708.69, 427,581.23 and 195,085.59 is: 269,333.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,708.69 : 427,581.23 = 195,085.59 : x
  2. Step 2: Convert to fraction form
    309,708.69/427,581.23 = 195,085.59/x
  3. Step 3: Cross multiply
    309,708.69x = 427,581.23 × 195,085.59
  4. Step 4: Simplify right side
    309,708.69x = 83,414,937,435.50
  5. Step 5: Solve for x
    x = 83,414,937,435.50/309,708.69
  6. Step 6: Final answer
    x = 269,333.53

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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.