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Finding the Fourth Proportional to 102,435.36, 141,361.52 and 57,116.31

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Solution

The fourth proportional to 102,435.36, 141,361.52 and 57,116.31 is: 78,820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,435.36 : 141,361.52 = 57,116.31 : x
  2. Step 2: Convert to fraction form
    102,435.36/141,361.52 = 57,116.31/x
  3. Step 3: Cross multiply
    102,435.36x = 141,361.52 × 57,116.31
  4. Step 4: Simplify right side
    102,435.36x = 8,074,048,398.39
  5. Step 5: Solve for x
    x = 8,074,048,398.39/102,435.36
  6. Step 6: Final answer
    x = 78,820.91

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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.