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Finding the Fourth Proportional to 213,133.07, 294,105 and 136,516.99

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Solution

The fourth proportional to 213,133.07, 294,105 and 136,516.99 is: 188,381.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,133.07 : 294,105 = 136,516.99 : x
  2. Step 2: Convert to fraction form
    213,133.07/294,105 = 136,516.99/x
  3. Step 3: Cross multiply
    213,133.07x = 294,105 × 136,516.99
  4. Step 4: Simplify right side
    213,133.07x = 40,150,328,608.69
  5. Step 5: Solve for x
    x = 40,150,328,608.69/213,133.07
  6. Step 6: Final answer
    x = 188,381.51

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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.