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Finding the Fourth Proportional to 201,043.84, 301,557.66 and 51,287.80

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Solution

The fourth proportional to 201,043.84, 301,557.66 and 51,287.80 is: 76,929.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,043.84 : 301,557.66 = 51,287.80 : x
  2. Step 2: Convert to fraction form
    201,043.84/301,557.66 = 51,287.80/x
  3. Step 3: Cross multiply
    201,043.84x = 301,557.66 × 51,287.80
  4. Step 4: Simplify right side
    201,043.84x = 15,466,228,954.55
  5. Step 5: Solve for x
    x = 15,466,228,954.55/201,043.84
  6. Step 6: Final answer
    x = 76,929.63

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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.