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Finding the Fourth Proportional to 132,839.84, 199,262.49 and 53,900.07

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Solution

The fourth proportional to 132,839.84, 199,262.49 and 53,900.07 is: 80,851.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,839.84 : 199,262.49 = 53,900.07 : x
  2. Step 2: Convert to fraction form
    132,839.84/199,262.49 = 53,900.07/x
  3. Step 3: Cross multiply
    132,839.84x = 199,262.49 × 53,900.07
  4. Step 4: Simplify right side
    132,839.84x = 10,740,262,159.37
  5. Step 5: Solve for x
    x = 10,740,262,159.37/132,839.84
  6. Step 6: Final answer
    x = 80,851.22

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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.