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Finding the Fourth Proportional to 277,295.48, 382,667.77 and 149,971.08

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Solution

The fourth proportional to 277,295.48, 382,667.77 and 149,971.08 is: 206,960.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,295.48 : 382,667.77 = 149,971.08 : x
  2. Step 2: Convert to fraction form
    277,295.48/382,667.77 = 149,971.08/x
  3. Step 3: Cross multiply
    277,295.48x = 382,667.77 × 149,971.08
  4. Step 4: Simplify right side
    277,295.48x = 57,389,098,748.09
  5. Step 5: Solve for x
    x = 57,389,098,748.09/277,295.48
  6. Step 6: Final answer
    x = 206,960.09

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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.