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Finding the Fourth Proportional to 205,354.30, 283,387.72 and 114,709.99

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Solution

The fourth proportional to 205,354.30, 283,387.72 and 114,709.99 is: 158,299.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,354.30 : 283,387.72 = 114,709.99 : x
  2. Step 2: Convert to fraction form
    205,354.30/283,387.72 = 114,709.99/x
  3. Step 3: Cross multiply
    205,354.30x = 283,387.72 × 114,709.99
  4. Step 4: Simplify right side
    205,354.30x = 32,507,401,818.85
  5. Step 5: Solve for x
    x = 32,507,401,818.85/205,354.30
  6. Step 6: Final answer
    x = 158,299.11

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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.