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Finding the Fourth Proportional to 206,310.30, 284,707.98 and 115,666.29

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Solution

The fourth proportional to 206,310.30, 284,707.98 and 115,666.29 is: 159,619.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,310.30 : 284,707.98 = 115,666.29 : x
  2. Step 2: Convert to fraction form
    206,310.30/284,707.98 = 115,666.29/x
  3. Step 3: Cross multiply
    206,310.30x = 284,707.98 × 115,666.29
  4. Step 4: Simplify right side
    206,310.30x = 32,931,115,779.99
  5. Step 5: Solve for x
    x = 32,931,115,779.99/206,310.30
  6. Step 6: Final answer
    x = 159,619.35

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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.