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Finding the Fourth Proportional to 206,869.17, 310,303.78 and 66,627.80

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Solution

The fourth proportional to 206,869.17, 310,303.78 and 66,627.80 is: 99,941.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,869.17 : 310,303.78 = 66,627.80 : x
  2. Step 2: Convert to fraction form
    206,869.17/310,303.78 = 66,627.80/x
  3. Step 3: Cross multiply
    206,869.17x = 310,303.78 × 66,627.80
  4. Step 4: Simplify right side
    206,869.17x = 20,674,858,193.08
  5. Step 5: Solve for x
    x = 20,674,858,193.08/206,869.17
  6. Step 6: Final answer
    x = 99,941.71

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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.