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Finding the Fourth Proportional to 200,534.92, 276,711.80 and 119,933.02

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Solution

The fourth proportional to 200,534.92, 276,711.80 and 119,933.02 is: 165,491.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,534.92 : 276,711.80 = 119,933.02 : x
  2. Step 2: Convert to fraction form
    200,534.92/276,711.80 = 119,933.02/x
  3. Step 3: Cross multiply
    200,534.92x = 276,711.80 × 119,933.02
  4. Step 4: Simplify right side
    200,534.92x = 33,186,881,843.64
  5. Step 5: Solve for x
    x = 33,186,881,843.64/200,534.92
  6. Step 6: Final answer
    x = 165,491.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.