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Finding the Fourth Proportional to 277,424.54, 382,845.87 and 150,100.13

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Solution

The fourth proportional to 277,424.54, 382,845.87 and 150,100.13 is: 207,138.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,424.54 : 382,845.87 = 150,100.13 : x
  2. Step 2: Convert to fraction form
    277,424.54/382,845.87 = 150,100.13/x
  3. Step 3: Cross multiply
    277,424.54x = 382,845.87 × 150,100.13
  4. Step 4: Simplify right side
    277,424.54x = 57,465,215,814.08
  5. Step 5: Solve for x
    x = 57,465,215,814.08/277,424.54
  6. Step 6: Final answer
    x = 207,138.19

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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.