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Finding the Fourth Proportional to 206,301.42, 284,696.98 and 115,661.21

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Solution

The fourth proportional to 206,301.42, 284,696.98 and 115,661.21 is: 159,613.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,301.42 : 284,696.98 = 115,661.21 : x
  2. Step 2: Convert to fraction form
    206,301.42/284,696.98 = 115,661.21/x
  3. Step 3: Cross multiply
    206,301.42x = 284,696.98 × 115,661.21
  4. Step 4: Simplify right side
    206,301.42x = 32,928,395,477.51
  5. Step 5: Solve for x
    x = 32,928,395,477.51/206,301.42
  6. Step 6: Final answer
    x = 159,613.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.