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Finding the Fourth Proportional to 103,131.96, 142,320.96 and 57,817.32

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Solution

The fourth proportional to 103,131.96, 142,320.96 and 57,817.32 is: 79,787.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,131.96 : 142,320.96 = 57,817.32 : x
  2. Step 2: Convert to fraction form
    103,131.96/142,320.96 = 57,817.32/x
  3. Step 3: Cross multiply
    103,131.96x = 142,320.96 × 57,817.32
  4. Step 4: Simplify right side
    103,131.96x = 8,228,616,487.03
  5. Step 5: Solve for x
    x = 8,228,616,487.03/103,131.96
  6. Step 6: Final answer
    x = 79,787.26

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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.