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Finding the Fourth Proportional to 200,691.60, 301,037.40 and 133,915.20

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Solution

The fourth proportional to 200,691.60, 301,037.40 and 133,915.20 is: 200,872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,691.60 : 301,037.40 = 133,915.20 : x
  2. Step 2: Convert to fraction form
    200,691.60/301,037.40 = 133,915.20/x
  3. Step 3: Cross multiply
    200,691.60x = 301,037.40 × 133,915.20
  4. Step 4: Simplify right side
    200,691.60x = 40,313,483,628.48
  5. Step 5: Solve for x
    x = 40,313,483,628.48/200,691.60
  6. Step 6: Final answer
    x = 200,872.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.