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Finding the Fourth Proportional to 200,691, 301,056.66 and 52,947

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Solution

The fourth proportional to 200,691, 301,056.66 and 52,947 is: 79,425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,691 : 301,056.66 = 52,947 : x
  2. Step 2: Convert to fraction form
    200,691/301,056.66 = 52,947/x
  3. Step 3: Cross multiply
    200,691x = 301,056.66 × 52,947
  4. Step 4: Simplify right side
    200,691x = 15,940,046,977.02
  5. Step 5: Solve for x
    x = 15,940,046,977.02/200,691
  6. Step 6: Final answer
    x = 79,425.82

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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.