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Finding the Fourth Proportional to 133,634.61, 200,311.10 and 49,340.81

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Solution

The fourth proportional to 133,634.61, 200,311.10 and 49,340.81 is: 73,959.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,634.61 : 200,311.10 = 49,340.81 : x
  2. Step 2: Convert to fraction form
    133,634.61/200,311.10 = 49,340.81/x
  3. Step 3: Cross multiply
    133,634.61x = 200,311.10 × 49,340.81
  4. Step 4: Simplify right side
    133,634.61x = 9,883,511,925.99
  5. Step 5: Solve for x
    x = 9,883,511,925.99/133,634.61
  6. Step 6: Final answer
    x = 73,959.22

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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.