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Finding the Fourth Proportional to 133,696.96, 200,588.32 and 38,932.84

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Solution

The fourth proportional to 133,696.96, 200,588.32 and 38,932.84 is: 58,411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,696.96 : 200,588.32 = 38,932.84 : x
  2. Step 2: Convert to fraction form
    133,696.96/200,588.32 = 38,932.84/x
  3. Step 3: Cross multiply
    133,696.96x = 200,588.32 × 38,932.84
  4. Step 4: Simplify right side
    133,696.96x = 7,809,471,920.52
  5. Step 5: Solve for x
    x = 7,809,471,920.52/133,696.96
  6. Step 6: Final answer
    x = 58,411.74

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Why These Related Problems?

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