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Finding the Fourth Proportional to 200,314.60, 300,617.70 and 133,732.60

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Solution

The fourth proportional to 200,314.60, 300,617.70 and 133,732.60 is: 200,696.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,314.60 : 300,617.70 = 133,732.60 : x
  2. Step 2: Convert to fraction form
    200,314.60/300,617.70 = 133,732.60/x
  3. Step 3: Cross multiply
    200,314.60x = 300,617.70 × 133,732.60
  4. Step 4: Simplify right side
    200,314.60x = 40,202,386,627.02
  5. Step 5: Solve for x
    x = 40,202,386,627.02/200,314.60
  6. Step 6: Final answer
    x = 200,696.24

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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.