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Finding the Fourth Proportional to 133,869.81, 200,823.50 and 39,106.95

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Solution

The fourth proportional to 133,869.81, 200,823.50 and 39,106.95 is: 58,665.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,869.81 : 200,823.50 = 39,106.95 : x
  2. Step 2: Convert to fraction form
    133,869.81/200,823.50 = 39,106.95/x
  3. Step 3: Cross multiply
    133,869.81x = 200,823.50 × 39,106.95
  4. Step 4: Simplify right side
    133,869.81x = 7,853,594,573.33
  5. Step 5: Solve for x
    x = 7,853,594,573.33/133,869.81
  6. Step 6: Final answer
    x = 58,665.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.