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Finding the Fourth Proportional to 277,182.84, 382,513.25 and 149,859.34

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Solution

The fourth proportional to 277,182.84, 382,513.25 and 149,859.34 is: 206,806.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,182.84 : 382,513.25 = 149,859.34 : x
  2. Step 2: Convert to fraction form
    277,182.84/382,513.25 = 149,859.34/x
  3. Step 3: Cross multiply
    277,182.84x = 382,513.25 × 149,859.34
  4. Step 4: Simplify right side
    277,182.84x = 57,323,183,186.26
  5. Step 5: Solve for x
    x = 57,323,183,186.26/277,182.84
  6. Step 6: Final answer
    x = 206,806.39

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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.