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Finding the Fourth Proportional to 102,361.02, 141,256.08 and 57,038.82

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Solution

The fourth proportional to 102,361.02, 141,256.08 and 57,038.82 is: 78,712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,361.02 : 141,256.08 = 57,038.82 : x
  2. Step 2: Convert to fraction form
    102,361.02/141,256.08 = 57,038.82/x
  3. Step 3: Cross multiply
    102,361.02x = 141,256.08 × 57,038.82
  4. Step 4: Simplify right side
    102,361.02x = 8,057,080,121.03
  5. Step 5: Solve for x
    x = 8,057,080,121.03/102,361.02
  6. Step 6: Final answer
    x = 78,712.39

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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.