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Finding the Fourth Proportional to 205,342.74, 283,372.29 and 119,314.26

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Solution

The fourth proportional to 205,342.74, 283,372.29 and 119,314.26 is: 164,653.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,342.74 : 283,372.29 = 119,314.26 : x
  2. Step 2: Convert to fraction form
    205,342.74/283,372.29 = 119,314.26/x
  3. Step 3: Cross multiply
    205,342.74x = 283,372.29 × 119,314.26
  4. Step 4: Simplify right side
    205,342.74x = 33,810,355,085.86
  5. Step 5: Solve for x
    x = 33,810,355,085.86/205,342.74
  6. Step 6: Final answer
    x = 164,653.28

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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.