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Finding the Fourth Proportional to 200,974.58, 301,067.76 and 116,557.45

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Solution

The fourth proportional to 200,974.58, 301,067.76 and 116,557.45 is: 174,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,974.58 : 301,067.76 = 116,557.45 : x
  2. Step 2: Convert to fraction form
    200,974.58/301,067.76 = 116,557.45/x
  3. Step 3: Cross multiply
    200,974.58x = 301,067.76 × 116,557.45
  4. Step 4: Simplify right side
    200,974.58x = 35,091,689,237.48
  5. Step 5: Solve for x
    x = 35,091,689,237.48/200,974.58
  6. Step 6: Final answer
    x = 174,607.60

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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.