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Finding the Fourth Proportional to 178,048.40, 267,223.80 and 72,942.80

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Solution

The fourth proportional to 178,048.40, 267,223.80 and 72,942.80 is: 109,476.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,048.40 : 267,223.80 = 72,942.80 : x
  2. Step 2: Convert to fraction form
    178,048.40/267,223.80 = 72,942.80/x
  3. Step 3: Cross multiply
    178,048.40x = 267,223.80 × 72,942.80
  4. Step 4: Simplify right side
    178,048.40x = 19,492,052,198.64
  5. Step 5: Solve for x
    x = 19,492,052,198.64/178,048.40
  6. Step 6: Final answer
    x = 109,476.14

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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.