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Finding the Fourth Proportional to 201,454.60, 302,414.70 and 108,142.60

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Solution

The fourth proportional to 201,454.60, 302,414.70 and 108,142.60 is: 162,338.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,454.60 : 302,414.70 = 108,142.60 : x
  2. Step 2: Convert to fraction form
    201,454.60/302,414.70 = 108,142.60/x
  3. Step 3: Cross multiply
    201,454.60x = 302,414.70 × 108,142.60
  4. Step 4: Simplify right side
    201,454.60x = 32,703,911,936.22
  5. Step 5: Solve for x
    x = 32,703,911,936.22/201,454.60
  6. Step 6: Final answer
    x = 162,338.87

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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.