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Finding the Fourth Proportional to 96,874.20, 145,311.30 and 84,821.40

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Solution

The fourth proportional to 96,874.20, 145,311.30 and 84,821.40 is: 127,232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,874.20 : 145,311.30 = 84,821.40 : x
  2. Step 2: Convert to fraction form
    96,874.20/145,311.30 = 84,821.40/x
  3. Step 3: Cross multiply
    96,874.20x = 145,311.30 × 84,821.40
  4. Step 4: Simplify right side
    96,874.20x = 12,325,507,901.82
  5. Step 5: Solve for x
    x = 12,325,507,901.82/96,874.20
  6. Step 6: Final answer
    x = 127,232.10

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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.