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Finding the Fourth Proportional to 277,488.45, 382,934.04 and 150,164.04

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Solution

The fourth proportional to 277,488.45, 382,934.04 and 150,164.04 is: 207,226.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,488.45 : 382,934.04 = 150,164.04 : x
  2. Step 2: Convert to fraction form
    277,488.45/382,934.04 = 150,164.04/x
  3. Step 3: Cross multiply
    277,488.45x = 382,934.04 × 150,164.04
  4. Step 4: Simplify right side
    277,488.45x = 57,502,922,499.92
  5. Step 5: Solve for x
    x = 57,502,922,499.92/277,488.45
  6. Step 6: Final answer
    x = 207,226.36

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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.