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Finding the Fourth Proportional to 102,677.90, 154,114.05 and 63,311.90

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Solution

The fourth proportional to 102,677.90, 154,114.05 and 63,311.90 is: 95,027.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,677.90 : 154,114.05 = 63,311.90 : x
  2. Step 2: Convert to fraction form
    102,677.90/154,114.05 = 63,311.90/x
  3. Step 3: Cross multiply
    102,677.90x = 154,114.05 × 63,311.90
  4. Step 4: Simplify right side
    102,677.90x = 9,757,253,322.20
  5. Step 5: Solve for x
    x = 9,757,253,322.20/102,677.90
  6. Step 6: Final answer
    x = 95,027.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.