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Finding the Fourth Proportional to 102,017.69, 140,797.56 and 57,314.33

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Solution

The fourth proportional to 102,017.69, 140,797.56 and 57,314.33 is: 79,101.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,017.69 : 140,797.56 = 57,314.33 : x
  2. Step 2: Convert to fraction form
    102,017.69/140,797.56 = 57,314.33/x
  3. Step 3: Cross multiply
    102,017.69x = 140,797.56 × 57,314.33
  4. Step 4: Simplify right side
    102,017.69x = 8,069,717,530.46
  5. Step 5: Solve for x
    x = 8,069,717,530.46/102,017.69
  6. Step 6: Final answer
    x = 79,101.16

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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.