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Finding the Fourth Proportional to 210,006.27, 289,863.90 and 119,415.33

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Solution

The fourth proportional to 210,006.27, 289,863.90 and 119,415.33 is: 164,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,006.27 : 289,863.90 = 119,415.33 : x
  2. Step 2: Convert to fraction form
    210,006.27/289,863.90 = 119,415.33/x
  3. Step 3: Cross multiply
    210,006.27x = 289,863.90 × 119,415.33
  4. Step 4: Simplify right side
    210,006.27x = 34,614,193,273.59
  5. Step 5: Solve for x
    x = 34,614,193,273.59/210,006.27
  6. Step 6: Final answer
    x = 164,824.57

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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.