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Finding the Fourth Proportional to 178,223.94, 267,336.28 and 73,024.02

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Solution

The fourth proportional to 178,223.94, 267,336.28 and 73,024.02 is: 109,536.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,223.94 : 267,336.28 = 73,024.02 : x
  2. Step 2: Convert to fraction form
    178,223.94/267,336.28 = 73,024.02/x
  3. Step 3: Cross multiply
    178,223.94x = 267,336.28 × 73,024.02
  4. Step 4: Simplify right side
    178,223.94x = 19,521,969,857.45
  5. Step 5: Solve for x
    x = 19,521,969,857.45/178,223.94
  6. Step 6: Final answer
    x = 109,536.18

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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.