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Finding the Fourth Proportional to 200,968.68, 277,317.38 and 120,394.92

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Solution

The fourth proportional to 200,968.68, 277,317.38 and 120,394.92 is: 166,133.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,968.68 : 277,317.38 = 120,394.92 : x
  2. Step 2: Convert to fraction form
    200,968.68/277,317.38 = 120,394.92/x
  3. Step 3: Cross multiply
    200,968.68x = 277,317.38 × 120,394.92
  4. Step 4: Simplify right side
    200,968.68x = 33,387,603,779.71
  5. Step 5: Solve for x
    x = 33,387,603,779.71/200,968.68
  6. Step 6: Final answer
    x = 166,133.37

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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.