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Finding the Fourth Proportional to 206,983.90, 310,415.75 and 80,595.90

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Solution

The fourth proportional to 206,983.90, 310,415.75 and 80,595.90 is: 120,870.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,983.90 : 310,415.75 = 80,595.90 : x
  2. Step 2: Convert to fraction form
    206,983.90/310,415.75 = 80,595.90/x
  3. Step 3: Cross multiply
    206,983.90x = 310,415.75 × 80,595.90
  4. Step 4: Simplify right side
    206,983.90x = 25,018,236,745.43
  5. Step 5: Solve for x
    x = 25,018,236,745.43/206,983.90
  6. Step 6: Final answer
    x = 120,870.45

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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.