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Finding the Fourth Proportional to 202,706.24, 279,735.04 and 113,282.24

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Solution

The fourth proportional to 202,706.24, 279,735.04 and 113,282.24 is: 156,329.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,706.24 : 279,735.04 = 113,282.24 : x
  2. Step 2: Convert to fraction form
    202,706.24/279,735.04 = 113,282.24/x
  3. Step 3: Cross multiply
    202,706.24x = 279,735.04 × 113,282.24
  4. Step 4: Simplify right side
    202,706.24x = 31,689,011,937.69
  5. Step 5: Solve for x
    x = 31,689,011,937.69/202,706.24
  6. Step 6: Final answer
    x = 156,329.73

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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.