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Finding the Fourth Proportional to 277,381.70, 382,785.90 and 150,057.26

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Solution

The fourth proportional to 277,381.70, 382,785.90 and 150,057.26 is: 207,078.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,381.70 : 382,785.90 = 150,057.26 : x
  2. Step 2: Convert to fraction form
    277,381.70/382,785.90 = 150,057.26/x
  3. Step 3: Cross multiply
    277,381.70x = 382,785.90 × 150,057.26
  4. Step 4: Simplify right side
    277,381.70x = 57,439,803,320.63
  5. Step 5: Solve for x
    x = 57,439,803,320.63/277,381.70
  6. Step 6: Final answer
    x = 207,078.56

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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.