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Finding the Fourth Proportional to 200,642.08, 276,914.25 and 124,185.68

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Solution

The fourth proportional to 200,642.08, 276,914.25 and 124,185.68 is: 171,393.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,642.08 : 276,914.25 = 124,185.68 : x
  2. Step 2: Convert to fraction form
    200,642.08/276,914.25 = 124,185.68/x
  3. Step 3: Cross multiply
    200,642.08x = 276,914.25 × 124,185.68
  4. Step 4: Simplify right side
    200,642.08x = 34,388,784,437.94
  5. Step 5: Solve for x
    x = 34,388,784,437.94/200,642.08
  6. Step 6: Final answer
    x = 171,393.68

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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.