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Finding the Fourth Proportional to 102,965.21, 142,108.99 and 70,673.30

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Solution

The fourth proportional to 102,965.21, 142,108.99 and 70,673.30 is: 97,540.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,965.21 : 142,108.99 = 70,673.30 : x
  2. Step 2: Convert to fraction form
    102,965.21/142,108.99 = 70,673.30/x
  3. Step 3: Cross multiply
    102,965.21x = 142,108.99 × 70,673.30
  4. Step 4: Simplify right side
    102,965.21x = 10,043,311,104.38
  5. Step 5: Solve for x
    x = 10,043,311,104.38/102,965.21
  6. Step 6: Final answer
    x = 97,540.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.