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Finding the Fourth Proportional to 206,543.76, 309,786.36 and 66,283.92

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Solution

The fourth proportional to 206,543.76, 309,786.36 and 66,283.92 is: 99,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,543.76 : 309,786.36 = 66,283.92 : x
  2. Step 2: Convert to fraction form
    206,543.76/309,786.36 = 66,283.92/x
  3. Step 3: Cross multiply
    206,543.76x = 309,786.36 × 66,283.92
  4. Step 4: Simplify right side
    206,543.76x = 20,533,854,303.33
  5. Step 5: Solve for x
    x = 20,533,854,303.33/206,543.76
  6. Step 6: Final answer
    x = 99,416.48

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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.