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Finding the Fourth Proportional to 277,513, 382,967.94 and 150,189.52

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Solution

The fourth proportional to 277,513, 382,967.94 and 150,189.52 is: 207,261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,513 : 382,967.94 = 150,189.52 : x
  2. Step 2: Convert to fraction form
    277,513/382,967.94 = 150,189.52/x
  3. Step 3: Cross multiply
    277,513x = 382,967.94 × 150,189.52
  4. Step 4: Simplify right side
    277,513x = 57,517,771,083.99
  5. Step 5: Solve for x
    x = 57,517,771,083.99/277,513
  6. Step 6: Final answer
    x = 207,261.54

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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.