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Finding the Fourth Proportional to 102,066, 140,851.80 and 57,354

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Solution

The fourth proportional to 102,066, 140,851.80 and 57,354 is: 79,148.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,066 : 140,851.80 = 57,354 : x
  2. Step 2: Convert to fraction form
    102,066/140,851.80 = 57,354/x
  3. Step 3: Cross multiply
    102,066x = 140,851.80 × 57,354
  4. Step 4: Simplify right side
    102,066x = 8,078,414,137.20
  5. Step 5: Solve for x
    x = 8,078,414,137.20/102,066
  6. Step 6: Final answer
    x = 79,148.92

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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.