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Finding the Fourth Proportional to 206,835.80, 310,311.30 and 101,658.20

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Solution

The fourth proportional to 206,835.80, 310,311.30 and 101,658.20 is: 152,515.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,835.80 : 310,311.30 = 101,658.20 : x
  2. Step 2: Convert to fraction form
    206,835.80/310,311.30 = 101,658.20/x
  3. Step 3: Cross multiply
    206,835.80x = 310,311.30 × 101,658.20
  4. Step 4: Simplify right side
    206,835.80x = 31,545,688,197.66
  5. Step 5: Solve for x
    x = 31,545,688,197.66/206,835.80
  6. Step 6: Final answer
    x = 152,515.61

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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.