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Finding the Fourth Proportional to 277,466.68, 382,903.38 and 150,142.20

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Solution

The fourth proportional to 277,466.68, 382,903.38 and 150,142.20 is: 207,195.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,466.68 : 382,903.38 = 150,142.20 : x
  2. Step 2: Convert to fraction form
    277,466.68/382,903.38 = 150,142.20/x
  3. Step 3: Cross multiply
    277,466.68x = 382,903.38 × 150,142.20
  4. Step 4: Simplify right side
    277,466.68x = 57,489,955,860.64
  5. Step 5: Solve for x
    x = 57,489,955,860.64/277,466.68
  6. Step 6: Final answer
    x = 207,195.89

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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.