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Finding the Fourth Proportional to 206,346.65, 309,564.53 and 64,189.22

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Solution

The fourth proportional to 206,346.65, 309,564.53 and 64,189.22 is: 96,297.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,346.65 : 309,564.53 = 64,189.22 : x
  2. Step 2: Convert to fraction form
    206,346.65/309,564.53 = 64,189.22/x
  3. Step 3: Cross multiply
    206,346.65x = 309,564.53 × 64,189.22
  4. Step 4: Simplify right side
    206,346.65x = 19,870,703,851.60
  5. Step 5: Solve for x
    x = 19,870,703,851.60/206,346.65
  6. Step 6: Final answer
    x = 96,297.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.