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Finding the Fourth Proportional to 277,625.76, 383,123.68 and 150,301.38

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Solution

The fourth proportional to 277,625.76, 383,123.68 and 150,301.38 is: 207,415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,625.76 : 383,123.68 = 150,301.38 : x
  2. Step 2: Convert to fraction form
    277,625.76/383,123.68 = 150,301.38/x
  3. Step 3: Cross multiply
    277,625.76x = 383,123.68 × 150,301.38
  4. Step 4: Simplify right side
    277,625.76x = 57,584,017,814.68
  5. Step 5: Solve for x
    x = 57,584,017,814.68/277,625.76
  6. Step 6: Final answer
    x = 207,415.98

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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.