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Finding the Fourth Proportional to 102,019, 140,799.46 and 57,307

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Solution

The fourth proportional to 102,019, 140,799.46 and 57,307 is: 79,091.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,019 : 140,799.46 = 57,307 : x
  2. Step 2: Convert to fraction form
    102,019/140,799.46 = 57,307/x
  3. Step 3: Cross multiply
    102,019x = 140,799.46 × 57,307
  4. Step 4: Simplify right side
    102,019x = 8,068,794,654.22
  5. Step 5: Solve for x
    x = 8,068,794,654.22/102,019
  6. Step 6: Final answer
    x = 79,091.10

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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.