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Finding the Fourth Proportional to 200,909.07, 301,353.87 and 74,573.94

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Solution

The fourth proportional to 200,909.07, 301,353.87 and 74,573.94 is: 111,857.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,909.07 : 301,353.87 = 74,573.94 : x
  2. Step 2: Convert to fraction form
    200,909.07/301,353.87 = 74,573.94/x
  3. Step 3: Cross multiply
    200,909.07x = 301,353.87 × 74,573.94
  4. Step 4: Simplify right side
    200,909.07x = 22,473,145,420.15
  5. Step 5: Solve for x
    x = 22,473,145,420.15/200,909.07
  6. Step 6: Final answer
    x = 111,857.30

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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.