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Finding the Fourth Proportional to 202,311.70, 282,711.50 and 202,311.70

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Solution

The fourth proportional to 202,311.70, 282,711.50 and 202,311.70 is: 282,711.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,311.70 : 282,711.50 = 202,311.70 : x
  2. Step 2: Convert to fraction form
    202,311.70/282,711.50 = 202,311.70/x
  3. Step 3: Cross multiply
    202,311.70x = 282,711.50 × 202,311.70
  4. Step 4: Simplify right side
    202,311.70x = 57,195,844,174.55
  5. Step 5: Solve for x
    x = 57,195,844,174.55/202,311.70
  6. Step 6: Final answer
    x = 282,711.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.