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Finding the Fourth Proportional to 201,092.58, 301,195.98 and 134,219.61

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Solution

The fourth proportional to 201,092.58, 301,195.98 and 134,219.61 is: 201,033.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,092.58 : 301,195.98 = 134,219.61 : x
  2. Step 2: Convert to fraction form
    201,092.58/301,195.98 = 134,219.61/x
  3. Step 3: Cross multiply
    201,092.58x = 301,195.98 × 134,219.61
  4. Step 4: Simplify right side
    201,092.58x = 40,426,406,969.17
  5. Step 5: Solve for x
    x = 40,426,406,969.17/201,092.58
  6. Step 6: Final answer
    x = 201,033.81

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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.