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Finding the Fourth Proportional to 200,709.60, 301,048.96 and 74,290.44

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Solution

The fourth proportional to 200,709.60, 301,048.96 and 74,290.44 is: 111,429.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,709.60 : 301,048.96 = 74,290.44 : x
  2. Step 2: Convert to fraction form
    200,709.60/301,048.96 = 74,290.44/x
  3. Step 3: Cross multiply
    200,709.60x = 301,048.96 × 74,290.44
  4. Step 4: Simplify right side
    200,709.60x = 22,365,059,699.94
  5. Step 5: Solve for x
    x = 22,365,059,699.94/200,709.60
  6. Step 6: Final answer
    x = 111,429.95

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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.