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Finding the Fourth Proportional to 206,077.37, 284,397.48 and 115,428.04

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Solution

The fourth proportional to 206,077.37, 284,397.48 and 115,428.04 is: 159,296.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,077.37 : 284,397.48 = 115,428.04 : x
  2. Step 2: Convert to fraction form
    206,077.37/284,397.48 = 115,428.04/x
  3. Step 3: Cross multiply
    206,077.37x = 284,397.48 × 115,428.04
  4. Step 4: Simplify right side
    206,077.37x = 32,827,442,986.35
  5. Step 5: Solve for x
    x = 32,827,442,986.35/206,077.37
  6. Step 6: Final answer
    x = 159,296.69

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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.