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Finding the Fourth Proportional to 203,502.90, 280,814.00 and 112,857.29

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Solution

The fourth proportional to 203,502.90, 280,814.00 and 112,857.29 is: 155,731.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,502.90 : 280,814.00 = 112,857.29 : x
  2. Step 2: Convert to fraction form
    203,502.90/280,814.00 = 112,857.29/x
  3. Step 3: Cross multiply
    203,502.90x = 280,814.00 × 112,857.29
  4. Step 4: Simplify right side
    203,502.90x = 31,691,905,065.70
  5. Step 5: Solve for x
    x = 31,691,905,065.70/203,502.90
  6. Step 6: Final answer
    x = 155,731.96

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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.