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Finding the Fourth Proportional to 277,489.68, 382,938.46 and 150,167.92

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Solution

The fourth proportional to 277,489.68, 382,938.46 and 150,167.92 is: 207,233.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,489.68 : 382,938.46 = 150,167.92 : x
  2. Step 2: Convert to fraction form
    277,489.68/382,938.46 = 150,167.92/x
  3. Step 3: Cross multiply
    277,489.68x = 382,938.46 × 150,167.92
  4. Step 4: Simplify right side
    277,489.68x = 57,505,072,026.20
  5. Step 5: Solve for x
    x = 57,505,072,026.20/277,489.68
  6. Step 6: Final answer
    x = 207,233.19

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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.