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Finding the Fourth Proportional to 277,218.01, 382,561.13 and 149,893.57

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Solution

The fourth proportional to 277,218.01, 382,561.13 and 149,893.57 is: 206,853.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,218.01 : 382,561.13 = 149,893.57 : x
  2. Step 2: Convert to fraction form
    277,218.01/382,561.13 = 149,893.57/x
  3. Step 3: Cross multiply
    277,218.01x = 382,561.13 × 149,893.57
  4. Step 4: Simplify right side
    277,218.01x = 57,343,452,769.47
  5. Step 5: Solve for x
    x = 57,343,452,769.47/277,218.01
  6. Step 6: Final answer
    x = 206,853.27

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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.