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Finding the Fourth Proportional to 200,536.04, 276,739.78 and 119,966.92

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Solution

The fourth proportional to 200,536.04, 276,739.78 and 119,966.92 is: 165,554.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,536.04 : 276,739.78 = 119,966.92 : x
  2. Step 2: Convert to fraction form
    200,536.04/276,739.78 = 119,966.92/x
  3. Step 3: Cross multiply
    200,536.04x = 276,739.78 × 119,966.92
  4. Step 4: Simplify right side
    200,536.04x = 33,199,619,048.08
  5. Step 5: Solve for x
    x = 33,199,619,048.08/200,536.04
  6. Step 6: Final answer
    x = 165,554.38

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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.