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Finding the Fourth Proportional to 277,869.38, 383,460.14 and 150,544.98

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Solution

The fourth proportional to 277,869.38, 383,460.14 and 150,544.98 is: 207,752.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,869.38 : 383,460.14 = 150,544.98 : x
  2. Step 2: Convert to fraction form
    277,869.38/383,460.14 = 150,544.98/x
  3. Step 3: Cross multiply
    277,869.38x = 383,460.14 × 150,544.98
  4. Step 4: Simplify right side
    277,869.38x = 57,727,999,107.10
  5. Step 5: Solve for x
    x = 57,727,999,107.10/277,869.38
  6. Step 6: Final answer
    x = 207,752.29

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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.