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Finding the Fourth Proportional to 277,618, 383,112.90 and 150,294.64

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Solution

The fourth proportional to 277,618, 383,112.90 and 150,294.64 is: 207,406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,618 : 383,112.90 = 150,294.64 : x
  2. Step 2: Convert to fraction form
    277,618/383,112.90 = 150,294.64/x
  3. Step 3: Cross multiply
    277,618x = 383,112.90 × 150,294.64
  4. Step 4: Simplify right side
    277,618x = 57,579,815,384.86
  5. Step 5: Solve for x
    x = 57,579,815,384.86/277,618
  6. Step 6: Final answer
    x = 207,406.64

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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.