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Finding the Fourth Proportional to 277,492.08, 382,939.20 and 150,167.28

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Solution

The fourth proportional to 277,492.08, 382,939.20 and 150,167.28 is: 207,230.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,492.08 : 382,939.20 = 150,167.28 : x
  2. Step 2: Convert to fraction form
    277,492.08/382,939.20 = 150,167.28/x
  3. Step 3: Cross multiply
    277,492.08x = 382,939.20 × 150,167.28
  4. Step 4: Simplify right side
    277,492.08x = 57,504,938,069.38
  5. Step 5: Solve for x
    x = 57,504,938,069.38/277,492.08
  6. Step 6: Final answer
    x = 207,230.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.