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Finding the Fourth Proportional to 277,458.92, 382,894 and 150,135.84

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Solution

The fourth proportional to 277,458.92, 382,894 and 150,135.84 is: 207,187.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,458.92 : 382,894 = 150,135.84 : x
  2. Step 2: Convert to fraction form
    277,458.92/382,894 = 150,135.84/x
  3. Step 3: Cross multiply
    277,458.92x = 382,894 × 150,135.84
  4. Step 4: Simplify right side
    277,458.92x = 57,486,112,320.96
  5. Step 5: Solve for x
    x = 57,486,112,320.96/277,458.92
  6. Step 6: Final answer
    x = 207,187.83

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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.