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Finding the Fourth Proportional to 277,525.86, 382,986.81 and 150,201.42

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Solution

The fourth proportional to 277,525.86, 382,986.81 and 150,201.42 is: 207,278.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,525.86 : 382,986.81 = 150,201.42 : x
  2. Step 2: Convert to fraction form
    277,525.86/382,986.81 = 150,201.42/x
  3. Step 3: Cross multiply
    277,525.86x = 382,986.81 × 150,201.42
  4. Step 4: Simplify right side
    277,525.86x = 57,525,162,703.27
  5. Step 5: Solve for x
    x = 57,525,162,703.27/277,525.86
  6. Step 6: Final answer
    x = 207,278.57

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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.