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Finding the Fourth Proportional to 206,941.80, 310,412.70 and 180,697.80

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Solution

The fourth proportional to 206,941.80, 310,412.70 and 180,697.80 is: 271,046.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,941.80 : 310,412.70 = 180,697.80 : x
  2. Step 2: Convert to fraction form
    206,941.80/310,412.70 = 180,697.80/x
  3. Step 3: Cross multiply
    206,941.80x = 310,412.70 × 180,697.80
  4. Step 4: Simplify right side
    206,941.80x = 56,090,891,982.06
  5. Step 5: Solve for x
    x = 56,090,891,982.06/206,941.80
  6. Step 6: Final answer
    x = 271,046.70

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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.