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Finding the Fourth Proportional to 178,578.84, 267,868.26 and 84,800.28

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Solution

The fourth proportional to 178,578.84, 267,868.26 and 84,800.28 is: 127,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,578.84 : 267,868.26 = 84,800.28 : x
  2. Step 2: Convert to fraction form
    178,578.84/267,868.26 = 84,800.28/x
  3. Step 3: Cross multiply
    178,578.84x = 267,868.26 × 84,800.28
  4. Step 4: Simplify right side
    178,578.84x = 22,715,303,451.11
  5. Step 5: Solve for x
    x = 22,715,303,451.11/178,578.84
  6. Step 6: Final answer
    x = 127,200.42

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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.