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Finding the Fourth Proportional to 277,293.51, 382,665.06 and 149,969.07

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Solution

The fourth proportional to 277,293.51, 382,665.06 and 149,969.07 is: 206,957.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,293.51 : 382,665.06 = 149,969.07 : x
  2. Step 2: Convert to fraction form
    277,293.51/382,665.06 = 149,969.07/x
  3. Step 3: Cross multiply
    277,293.51x = 382,665.06 × 149,969.07
  4. Step 4: Simplify right side
    277,293.51x = 57,387,923,169.69
  5. Step 5: Solve for x
    x = 57,387,923,169.69/277,293.51
  6. Step 6: Final answer
    x = 206,957.33

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1.5x scale

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.